8
QuizMultiple Choice

Solving Absolute Value Equations

Question 8 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Which statement is true?

Answer
A
The equation –3|2x + 1.2| = –1 has no solution.
B
The equation 3.5|6x – 2| = 3.5 has one solution.
C
The equation 5|–3.1x + 6.9| = –3.5 has two solutions.
D
The equation –0.3|3 + 8x| = 0.9 has no solution.

Explanation

An absolute value is always zero or positive. In choice D, multiplying |3 + 8x| by −0.3 gives a value that is zero or negative, so it can never equal 0.9. Therefore, the equation has no solution, making choice D true.

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