Solving Absolute Value Equations

Question 1

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

Revolt · Accepted Answer

C: 3x – 5 < –10 or 3x – 5 > 10

Question 2

Compare the process of solving |x – 1| + 1 < 15 to that 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 “and” statement, while the “>” would use an “or” statement.

Solving Absolute Value Equations Answers

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