Question

Which equation has no solution
A) |–x – 3| = 5

B) |2x – 1| = 0

C) |5 – 3x| = –8

D) |–x + 9| = 0

Answer 1

That would be C.
Because absolute values cannot equal negative numbers. So if u have an absolute value...doesn't matter what numbers are in it, it cannot equal a negative number. Now if that -8, in problem C was a positive 8, then it would have 2 solutions.

Answer 2

C) |5 – 3x| = –8

C) Has no solution because the modulus would not result in a negative number = -8.

The modulus is always positive.