AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PSolving Absolute Value Equations

Solving Absolute Value Equations Answers

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A
Option
B
Option
C
Option
D
Option
2
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A
67 inches or shorter.
B
at least 67 inches, but at most 73 inches.
C
73 inches or taller.
D
67 inches or shorter, or 73 inches or taller.
3

Solve the resulting inequalities.

A
-34 < x < 10
B
–10 < x < 34
C
–10 > x > 22
D
–34 > x < 22
4

Which of the following is equivalent to ?

Question illustration
A
x – 1 < 5
B
5 < x – 1 < 5
C
–5 < x – 1 < 5
D
–5 > x – 1 < 5
5

Recall that can be written as –5 < x – 1 < 5. Which of the following represents the solutions of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
6

Solve the absolute value inequality: |x + 12| + 5 < 27Isolate the absolute value by subtracting 5 from both sides.

A
|x + 7| < 27
B
|x + 7| < 22
C
|x + 12| < 22
D
|x + 12| > 22
7

Which is the solution in interval notation?

A
Option
B
Option
C
Option
D
Option
8

Choose the graph that represents the inequality |x + 1| + 2 < –1.

A
Option
B
Option
C
Option
9

What are the two equations created by the inequality |x–12| + 5 < 27? y1=

A
|x+12|
B
|x-12|
C
|x+17|
D
|x-7|
10

Separate into a compound inequality.

A
22 < x + 12 < 22
B
–22 < x + 12 < 22
C
–22 < x < 22
D
–22 > x + 12 < 22
11

Which is the solution in set-builder notation?

A
Option
B
Option
C
Option
D
Option
12

What are the solutions?

A
All real numbers
B
4 < x < –6
C
–6 < x < 4
D
There is no solution since the graph of is never below the graph of .
13

and y2=

A
22
B
32
C
34
14

Which is the solution as a graph?

A
Option
B
Option
C
Option
D
Option
15

Which graph represents the two functions?

A
Option
B
Option
C
Option

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Solving Absolute Value Equations