10
QuizMultiple Choice

Solving Absolute Value Equations

Question 10 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Which equation has no solution?

Answer
A
|–x – 3| = 5
B
|2x – 1| = 0
C
|5 – 3x| = –8
D
|–x + 9| = 0

Explanation

An absolute value is always greater than or equal to 0, so it cannot equal −8. Therefore, |5 − 3x| = −8 has no solution, making choice C correct. The other equations can be solved because their right sides are nonnegative.

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