AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PAbsolute Value Inequalities

Absolute Value Inequalities Answers

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Which compound inequality can be used to solve the inequality ?

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A
Option
Option A
B
Option
Option B
C
3x + 2 > –7 or 3x + 2 > 7
D
3x + 2 7
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Amber is solving the inequality by graphing. Which equations should Amber graph?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

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?

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A
or
Option A
B
Option
Option B
C
or
Option C
D
Option
Option D
4

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
5

What is another way to write the absolute value inequality ?

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A
Option
Option A
B
Option
Option B
C
or
Option C
D
or
Option D
6

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

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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.
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

A student showed the steps below while solving the inequality by graphing.Step 1:Write a system of equations: Step 2: Graph the two equations:Step 3:Identify the values of x for which :x = 3 or x = 5Step 4:Write the solution in interval notation:What is the first step in which the student made an error?

Question illustration
A
Step 1, because the student should have written a compound statement with “and”
B
Step 2, because the student should have graphed the inequalities
Option B
C
Step 3, because the values for x for which also include values between 3 and 5
Option C
D
Step 4, because the solution is one continuous interval
9

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

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which compound inequality is equivalent to the absolute value inequality ?

Question illustration
A
–6 > b and b > 6
B
b > –6 or b < 6
C
–6 6
D
b 6
11

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
Option
Option B
C
[–3, 2]
D
(–3, 2)

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