Which one of the following compound inequalities has no solution?

Which One Of The Following Compound Inequalities Has No Solution?

Answers

Answer 1

From the following compound inequalities, all the compound inequalities have a solution.

What is compound inequality?

A compound inequality is a type of inequality that comprises two basic inequalities.

From the given information, we have:

3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1

-2x+9>4x+3 and-8x-9 < -7x-3

-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)

3x+1 < 5x+7 and -2x+5 ≤ -5x -10

To determine the compound inequality with no solution, we need to solve each of the inequalities.

1.

3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1

Collect like terms

-7-5 ≤ 5x-3x and 8+1 < 5x+4x

-12 ≤ 2x and 9 <9x

x ≥ -6 and x > 1 (has a solution)

2. -2x+9>4x+3 and-8x-9 < -7x-3

Collect like terms

9-3 > 4x+2x and -9+3 < 8x-7x

6 > 6x and -6 < x

x< 1 and x < -6 (has a solution)

3.

-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)

Open brackets

= -2x +18 < 3x + 12 and -4x + 4 > -5x +10

Collect like terms

= 2x + 3x > 18 - 12 and 5x-4x > 10 -4

=  5x < 6 and x > 6

= x > 6/5 and x > 6  (has a solution)

4.

3x+1 < 5x+7 and -2x+5 ≤ -5x -10

1-7 < 5x-3x and 5x -2x ≤ -10 +2

-6 < 2x and 3x ≤ -8

x > -3 and x ≤ -8/3 ( has a solution)

Therefore, no compound inequalities has no solution.

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Related Questions

17. Jane is building a model boat. Every inch on her model is equivalent to 3.5 feet on the real boat her model is based on. What would be the mathematical rule to express the relationship between the length of the model, m, and the length of the boat, b?​

Answers

The mathematical rule to express the relationship between the length of the model, m, and the length of the boat, b is; m = b/3.5

How to solve algebra word problems?

We are told that Jane's model is a boat.

Now, we are told that very inch on her model is equivalent to 3.5 feet on the real boat her model is based on.

Now, what this means is that the scale factor is; 1 inch to represent 3.5 feet. Thus, if the length of the model, m, and the length of the boat, b, then the relationship between m and b is;

m = b/3.5

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If m26 = 13°, then m/9

Answers

The simplification of the given equation is  m/9=1/18.

Given angle m26 = 13°

m= 13°/26

  = 1/2

m/9=(1/2)/9

     = 1/(2*9)

     = 1/18

m/9=1/18

Expressions are mathematical statements with at least two words that comprise either numbers, variables, or both and are linked by an addition/subtraction operator. PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction - is the main rule for simplifying expressions.

Simplifying expressions entails rewriting the same algebraic statement in a compact fashion with no similar terms. To simplify expressions, we combine all similar words and solve all specified brackets, if any, leaving just unlike terms in the simplified expression that cannot be reduced further.

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Find the weighted average.
The coordinate 3 has a weight of 1, and the coordinate 6 has a weight of 2.
The weighted average is
Previous

Answers

Answer: The coordinate is with the weight of 2

The answer is 32

Step-by-step explanation:

you can figure it out

The boiling point of jet fuel is 329°F. Rounded to the nearest degree, what is the temperature in degrees Celsius?

Answers

Answer: 165 Celcius

I used a Farheinit to Celcius calculator :)

Pls solve 4m-6=24 pls and thank u

Answers

M= 15/2
As Decimal=7.5
As mixed number=7 1/2
Your answer for the equation 4m-6=24 is:
4(7.5)-6=24

HELP ME OUT PLEASE!!!​

Answers

The answer is y = -3x + 22
Check out the attached photo

Solve for d.
4.77 = -1.23 + -3d solve for d

Answers

Answer:

-2

Step-by-step explanation:

4.77

+1.23

=6

6/-3=-2, so d=-2

39/7/2022
3. 4(m²-2) when m = -513
perform first when simplifying

Answers

After performing the simplification process we get the answer as 1052668 or 1.025668 × 10⁶

Some "fixing" difficulties involve simplifying. Parentheses and even nested grouping symbols can be found in some equations, just like they can in some expressions. Whether we're working with equations (so we're also solving), or expressions (and only simplifying), the simplification procedure is the same in both cases.

Given the expression is m 4(m² ₋ 2) and

the value of m = ₋513

substitute the value of m in the expression.

4 ×((₋513)² ₋ 2)

Determine the sign for radical or exponential expressions

4×(513² ₋ 2)

calculate the power.

4 × (263169 ₋ 2)

calculate the sum or the difference.

4 × 263167

after multiplication we get the answer as:

1052668

can also be written as 1.052668 × 10⁶

Hence we gained the desired result.

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A sporting goods manufacturer produces skateboards and in-line skates. Its dealers demand at least 30 skateboards per day and 20 pairs of in-line skates per day. The factory can make at most 60 skateboards and 40 pairs of in-line skates per day. The total number of skateboards and pairs of in-line skates cannot exceed 90. The profit of each skateboard is $12 and the profit on each pair of in-line skates is $19. What is the maximum profit the company can make given these constraints?

$1100
$1100

$1200
$1200

$1360
$1360

$2200
$2200

Answers

The maximum profit the company can make given these constraints is; $1360

How to Solve Linear Programming Problems?

We are given that;

Its dealers demand at least 30 skateboards per day and 20 pairs of in-line skates per day. The factory can make at most 60 skateboards and 40 pairs of in-line skates per day. The total number of skateboards and pairs of in-line skates cannot exceed 90. The profit of each skateboard is $12 and the profit on each pair of in-line skates is $19

Thus, the inequalities are as follows;

Let x represent number of skateboards

Let y represent in-line skates

Thus;

x ≥ 30

y ≥ 20

x ≤ 60

y ≤ 40

x + y ≤ 90

y ≤  -x + 90

f(x, y) = 12x + 19y

At (30, 20), f(30, 20) = 12(30) + 19(20) = $740

At (30, 40), f(30, 40) = 12(30) + 19(40) = $1120

At (50, 40), f(50, 40) = 12(50) + 19(40) = $1360

At (60, 20), f(60, 20) = 12(60) + 19(20) = $1100

At (60, 30), f(60,30) =  12(60) + 19(30) = $1290

Thus, the maximum profit the company can make given these constraints is; $1360

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Question
[tex] \sqrt{2 + \sqrt{2 + \sqrt{2 + ....... \: \: \: \: } } } is \: \: equal \: \: \: to \: [/tex]
Options —:

[tex]1-: 1 \\ \ \ \ 2—: 2 \\ \ \ \ \ 3-: ‌2 + \sqrt{2} \\ 4 -:2 \sqrt{2} [/tex]

Answers

Hope attachment will be helpful .

What is the value of expression below when w = 4?

3w^2 - 3w + 8

Answers

Answer: 44

Step-by-step explanation:

[tex]3w^{2} -3w+8[/tex]

w=4

Plug 4 in for w.

[tex]3(4)^{2} -3(4)+8[/tex]

[tex]=3(16)-12+8[/tex]

[tex]=48-4\\=44[/tex]

FInd the circomference of the circle

Answers

Answer:

Step-by-step explanation: 56.52 in.

Answer: 56.52 Inches

Step-by-step explanation:

Step 1. Write down the formula for finding the circumference of a circle.

C=2r

Step 2. Next, we substitute the values of pi and r.

C=2(3.14)9

Step 3 (Final step). Finally, we Multiply everything to get C

C=56.52 Inches.

Hope this helps!

what is one-fifth as a percentage?

Answers

Answer: 20%

Step-by-step explanation:

1=100%

1/5=

100%/5=20%

Answer: 20 percent

Step-by-step explanation: how you college level and not know this one

1. Solve the following inequalities and describe the similarity and differences be-
tween the solution set:

a) 1 + x < 2
b) 1 − x < 2
c) −1 − x < −2
d) −1 − x < 2

Answers

I’m pretty sure it’s C or D I did this worksheet I just forgot the answer but it definitely not A or B

Can you find the slope for me

Answers

Answer:

8/5

Step-by-step explanation:

suppose that y varies directly with x and y = -9 when x = 3 write the direct variation that relates to X and Y. y= and find y when x=7

Answers

The direct variation is -27/7.

y=27/7 when x= 7

What is variation ?

Y= -9 when x = 3 and y varies directly with x which can be written as y directly proportional to x.

[tex]x_{1} /x_{2}[/tex] = [tex]y_{1} /y_{2}[/tex]

3/7 = -9/y2

y2 = - 27/7

A variation is a connection between a set of values for one variable and a different set of values. If m is a nonzero constant and b = 0, the equation y = mx + b yields the function y = mx (often written y = kx), which is known as a direct variation.

The calculus of variations is a branch of mathematical analysis which finds maxima and minima of functionals: mappings from a set of functions to the real numbers. Variations are minor changes in functions and functionals.

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Simplify.
(29 × 35) x (24 x 3)²
A
B
C
D
620
624
213 × 37
2¹7 x 37
D

Answers

The final value is 6199.

Simplify:

(29 × 35) + (24 x 3)²

= 1015 +5184

=6199

In mathematics, simply or simplification is reducing the expression/fraction/problem  during a  simpler form. It makes  the matter  easy with calculations and solving.

Here are  the essential  steps to follow to simplify an algebraic expression:

Remove parentheses by multiplying factors.

Use exponent rules  to get rid of  parentheses in terms with exponents.

Combine like terms by adding coefficients.

Combine the constants.

Here's  differently  to explain it: The is used to refer to a specific or particular member of a group.  for instance , "I just saw  the foremost  popular movie of the year." There are many movies, but  just one  particular movie is the most popular.

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La o scoala s au adus 26 de colete a cate 9abecedare si 271 de colete a cate 7carti de matematica .Cate manuale s au primit in total?

Answers

Answer:

2131

Step-by-step explanation:

26×9=234

271×7=1897

234+1897=2131

Can someone help with this problem?

Answers

The earthquake was a devastating one as its range is very high for the logarithm function.

We are given that:

M = log (A) - log (A₀) + c log (Δ)

where,

M = local magnitude of the earthquake

A = maximum amplitude in micrometers

A₀ = reference amplitude

c = calibration constant

Δ = distance in km between the seismograph and the epicenter

Now, we are given that:

M = 114370.61 ц m

A = ?

A₀ = 302 ц m

c = 2.76

Δ = 60 km

We have to find the maximum amplitude.

Substituting the values in the logarithm function, we get that:

9102 ц m = log (A) - log (302 ц m) + 2.76 log (60 km)

114370.61 ц m = log (A) - 2.48 + 2.76 (1.78)

114370.61 ц m = log (A) - 2.48 + 4.91

114370.61 ц m = log (A) + 2.43

log (A) = 114370.61 ц m - 2.43

log (A) = 114368.18 ц m

A = e¹¹⁴³⁶⁸°¹⁸ ц m

A = will come in the range 9 and over.

Therefore, the earthquake was a devastating one as its range is very high for the logarithm function.

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I will mark brainliest

Answer choices are:

K
P
J
M

Answers

Answer:

K

Step-by-step explanation:

Well, P is quadrant 1

K is quadrant 2

M is quadrant 3

J is quadrant 4

Answer:

Quadrant II is letter K.

Hope this helps :)

Simplify the expression. (Remember the order of operations.)
[18-(-11)]-[22+(-18)

Answers

25

[18 + 11] - [22 - 18]
29 - 4
= 25

What is the answer pls?

Answers

Step-by-step explanation:

X+10+4X-12=83

5X-2=83

+2. +2.

5X=85

÷. ÷

5. 5

X=17

Now you plug it in:

(17)+10= 27=ABC°

ABD°=83

4(17)-12= 56 = DBC°

ABD would be the total of ABC and DBC since it's basically those 2 combined.

35 POINTS+BRAINLIEST FOR FIRST RESPONSE
If f(x) = 2x + 4, find each value (ignore the g)
68. f(-3) 70. f(0) 72. f(m + 2)
74 doesnt need an answer but an explanation would be nice

Answers

Hope this helps
If you have more questions let me know in the comments

evaluate
the expression when
C = 6 and Y = -7
7-у

Answers

Answer:

14

Step-by-step explanation:

7-(-7)=14 so the answer is 14

Answer:

14

Step-by-step explanation:

The expression 7-y

when y= -7

becomes by substitution of y with -7

7-(-7) = 7+7 = 14

1) Identify a number that makes the
statement below true. Show work to justify
your answer.
-5.8+
= a positive number
r

Answers

The number that makes the statement is -5.8 + 6.8 = 1 > 0 so, the statement is -5.8 + 6.8 = a positive number is true statement.

The number that makes the statement is,

Based on given conditions , formulate,

-5.8+ _     = a positive number

Let us assume,

We can take positive number is '1'

Then, we can write,

⇒ 1 - (-5.8)

We can negative sign and negative signs are shows to positive sign,

⇒ 1 + 5.8

We can sum or difference in the product,

⇒ 6.8

Hence,

⇒ -5.8 + 6.8

⇒ 1

So, 1 is positive number.

Then,  -5.8 + 6.8 = 1 > 0

Therefore, The number that makes the statement is -5.8 + 6.8 = 1 > 0 so,

-5.8 + 6.8 = a positive number.

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Vincent earns $796 on Monday and he earns $218 on Tuesday. How much total money does Vincent
earn?

Answers

Answer:1014$

Step-by-step explanation:796

                                           +214

                                           1014

Choose all properties that were used to simplify the following problem:

(Possible answers)
1 associative property of addition
2 associative property of multiplication
3 multiplicative inverse
4 commutative property of multiplication
5 multiplicative identity
6 distributive property
7 commutative property of addition
Multiple choice!

Answers

Answer:

In order of operations

commutative property of multiplicationmultiplicative inversemultiplicative identity

Step-by-step explanation:

==> [tex]\frac{2}{7} \cdot 53 \cdot {7}{2} \\53 \cdot \frac{2}{7} \cdot {7}{2} \\[/tex]  
Commutative property of multiplication : With multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. [tex]a \cdot b \cdot c = b \cdot a\cdot c[/tex]

==> [tex]53 \cdot 1[/tex]  
Multiplicative Inverse : A number multiplied by its reciprocal equals

1 : [tex]\frac{a}{b}\cdot\frac{b}{a} = 1[/tex]

==> 53

Multiplicative Identity: Multiplying a number by 1 leaves the number unchanged: [tex]a\cdot1 = a[/tex]

A 48-foot rope is cut into three lengths. The second length of rope is twice the first length. The third length of rope is one-fifth the first length. What is the third length?

Answers

The length of the third part of the rope is 4 feet.

Given that A 48-feet rope is cut into three length. The second length of the rope is twice the first length. The third length of rope is one-fifth the first length

Let's assume the length of the 1st part is "x".

Then the length of the second part is "2x". and the length of the third part is "[tex]\frac{x}{5}[/tex]".

The total length of rope is 48 feet

⇒x+2x+[tex]\frac{x}{5}[/tex]= 48 feet

⇒3x+[tex]\frac{x}{5}[/tex]= 48 feet

⇒[tex]\frac{16x}{5}[/tex]= 48 feet

⇒ x= 20 feet.

Therefore, The length of the third part of the rope is 4 feet.

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3 to the 4th power minus -6 to the 2nd power

Answers

the answer is 45
siri answered this really easily



O Associative Property of Multiplication
Zero Property of Multiplication
Identity Property of Multiplication
3. 270.0=0

Answers

The answer is 260 because you don’t subtract anything
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