Lesson 1.8: Absolute Value Inequalities Answers

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

[6, –5][–5, 6](–5, 6)(6, –5)

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

A number is less than 20 units away from 7 on the number line. What numbers are within these parameters? Choose the inequality that represents the situation.

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.

Solve the inequality.

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

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

[6, –5][–5, 6](–5, 6)(6, –5)

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

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

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

x < 13x < 2713 < x < 27✔ –13 < x < 27

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