Question

Which equation has no solution?

Answer 1

A, because the absolute value is always non negative.<span />

Answer 2

|4x - 2| = -6 is your answer.

Solve each equation:
|4x - 2| = -6
The equation has no solution because absolute value equations are always positive.

|-2 - x| = 9
-2 - x = 9 or -2 - x = -9

-2 - x = 9
-x = 11
x = -11

-2 - x = -9
-x = -7
x = 7

x = -11 or x = 7.


|3x + 6| = 6
3x + 6 = 6 or 3x + 6 = -6

3x + 6 = 6 
3x = 0
x = 0

3x + 6 = -6
3x = -12
x = -4

x = 0 or x = -4.


|-2x + 8| = 0
-2x + 8 = 0
-2x = -8
x = -4.