Solving Absolute Value Equations Answers

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1
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Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10.

A
–10 < |3x – 5| < 10
B
3x – 5 > –10 or 3x – 5 < 10
C
3x – 5 10
D
–10 < 3x – 5 < 10
2
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Compare the process of solving |x – 1| + 1 15.

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.

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