Absolute Value Inequalities

Question 1

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

Revolt · Accepted Answer

3x – 5 10

Question 2

{x|5 < x < 6}{x|–5 < x < 6}{x|x < 6} {x|–6 < x < 6}

Revolt · Accepted Answer

{x|–5 < x < 6}

Question 3

[6, –5][–5, 6](–5, 6)(6, –5)

Revolt · Accepted Answer

(–5, 6)

Question 4

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-11-02-20-03-task/mc001-4.jpg

Question 5

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-11-02-20-04-task/mc001-1.jpg

Question 6

|x – 20| < 7✔ |x – 7| < 20|x + 7| < 20|x + 20| < 7

Revolt · Accepted Answer

✔ |x – 7| < 20

Question 7

x < 13x < 2713 < x < 27✔ –13 < x < 27

Revolt · Accepted Answer

✔ –13 < x < 27

Question 8

Question 8

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-11-02-20-05-task/mc001-4.jpg

Question 9

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

Revolt · Accepted 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.

Question 10

Question 11

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-11-02-20-07-task/mc001-3.jpg

Absolute Value Inequalities Answers

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