Absolute Value Inequalities Answers

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1
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Which of the following represents the solution to the inequality ?

Question illustration
A
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Option A
B
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Option B
C
[–2, 7]
D
[1.5, 7.5]
2
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Amber is solving the inequality by graphing. Which equations should Amber graph?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
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Option D
3

Aaron solved an inequality and then graphed the solution as shown below. Which inequality did Aaron solve?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
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Option D
4

On any given day, the number of users, u, that access a certain website can be represented by the inequality . Which of the following represents the range of users that access the website each day?

Question illustration
A
or
Option A
B
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Option B
C
or
Option C
D
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Option D
5

A student found the solution below for the given inequality.Which of the following explains whether the student is correct?

Question illustration
A
The student is completely correct because the student correctly wrote and solved the compound inequality.
B
The student is partially correct because only one part of the compound inequality is written correctly.
C
The student is partially correct because the student should have written the statements using “or” instead of “and.”
D
The student is completely incorrect because there is “ no solution “ to this inequality.
6

Contessa is solving an absolute value inequality. She writes the compound inequality as her first step. Which inequality is Contessa solving?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
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Option D
7

Which inequality is equivalent to ?

Question illustration
A
–9 > x – 4 < 9
B
–9 < x – 4 < 9
C
x – 4 < –9 or x – 4 < 9
D
x – 4 > –9 or x – 4 < 9
8

What is another way to write the absolute value inequality ?

Question illustration
A
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Option A
B
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Option B
C
or
Option C
D
or
Option D
9

The solution to an absolute value inequality is shown on the graph below.What is another way to show the solution?

Question illustration
A
x > –3 or x < 2
B
mc009-2.jpg
Option B
C
[–3, 2]
D
(–3, 2)
10

What is the solution to the inequality ?

Question illustration
A
–7 < x < –1
B
1 < x < 7
C
x < –7 or x < –1
D
x > 1 or x < 7

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