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

Absolute Value Inequalities Answers

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1
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Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10.

A
–10 < |3x – 5| < 10
B
3x – 5 > –10 or 3x – 5 < 10
C
3x – 5 10
D
–10 < 3x – 5 < 10
2
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[6, –5][–5, 6](–5, 6)(6, –5)

A
[6, –5]
B
[–5, 6]
C
(–5, 6)
D
(6, –5)
3

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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

Question text not available

A
{x|5 < x < 6}
B
{x|–5 < x < 6}
C
{x|x < 6}
D
{x|–6 < x < 6}
5

Identify the graph that correctly represents the inequality |x + 1| + 2 > 5.

Answer not available
6

Use the graph to determine the solution of the inequality |x + 1| + 2 > 5.

A
Option
Option A
B
(–4, 2)
Option B
C
(0, 3)
Option C
D
Option
Option D
7

Question text not available

A
|x – 20| < 7
B
|x – 7| < 20
C
|x + 7| < 20
D
|x + 20| < 7
8

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Question illustration
Answer not available
9

Which graph accurately indicates the region, shaded in green, that would determine the solution for the inequality

Question illustration
Answer not available
10

A quality assurance engineer randomly checks manufactured parts to ensure that they are within 0.002 mm of the desired specifications. If the desired length of the part is 3 mm, then the compound inequality represents the acceptable lengths.Choose the absolute value inequality that represents the situation.

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
11

Question text not available

A
x < 13
B
x < 27
C
13 < x < 27
D
–13 < x < 27
12

Express the answer in interval notation..

Answer not available
13

Compare the process of solving |x – 1| + 1 15.

Answer:

Both absolute values would need to be isolated first. You would need to write a compound inequality for each. Both compound inequalities would compare x – 1 to –15 and 15. The inequality with “ ” would use an “or” statement.

14

Question text not available

Answer not available

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