AnswersFL-1200330-Algebra 2 Sem 2 - FlexAbsolute Value Inequalities

Absolute Value Inequalities Answers

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What is another way to write the absolute value inequality ?

Question illustration
A
Option
Option A
B
Option
Option B
C
or
Option C
D
or
Option D
2
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What is the solution to the inequality ?

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A
–7 < x < –1
B
1 < x < 7
C
x < –7 or x < –1
D
x > 1 or x < 7
3

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
4

Which of the following represents the solution to the inequality ?

Question illustration
A
Option
Option A
B
Option
Option B
C
[–2, 7]
D
[1.5, 7.5]
5

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)
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
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Amber is solving the inequality by graphing. Which equations should Amber graph?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

A cyclist rides at an average speed of 31 miles per hour. The cyclist’s speed, s, can differ from the average by as much as 8 miles per hour. The absolute value inequality represents this situation. If the compound inequality and also represents this situation, what is the value of x in the compound inequality?

Question illustration
A
–8
B
–8 or 8
C
8
D
8 and –8
9

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
10

What is the solution, if any, to the inequality ?

Question illustration
A
all real numbers
B
no solution
C
Option
Option C
D
Option
Option D

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