Question

Which equation has no solution?

|4x – 2| = –6
|–2 – x| = 9
|3x + 6| = 6
|–2x + 8| = 0

Answer 1

Option 1

there are no values of x that make the equation true

Explanation:

Answer 2

Option A) |4x - 2| = - 6 has no solution.

Explanation:

option A) |4x - 2| = - 6

Since left hand side of function is in modulus, so it will always gives positive values but right hand side is - 6 ,

So, there are no values of x that make the equation true.

option B) |- 2 - x| = 9

Equation is true for x = 7

option C) |3x + 6| = 6

Equation is true for x = 0

option D) |–2x + 8| = 0

Equation is true for x = 4.

hence, option A) |4x - 2| = - 6 has no solution.