Question

Which equation has no solution

Answer 1

answer : |4x-2| = -6

Absolute value is the distance of x from 0

The solution of absolute value cannot be negative

Distance is always positive. So solution of absolute value cannot be negative.

|4x-2| = -6

The distance cannot be -6. So there is no solute for this equation.

The other equations have only positive value or 0 on the right side. so other three absolute equation can be solved.

so |4x-2| = -6 has no solution

Answer 2

|
`4x-2`|
`=-6`

Explanation:

1. By definition, an absolute value is always expressed as a positive number or zero.

2. Based on the information shown above, when you have an equation as the equation of the first option ( |
`4x-2`|
`=-6`), you can conclude that this equation has no solution, because it is impossible to have an absolute value equal to -6.

3. Therefore, as you can see, the answer is the first option: |
`4x-2`|
`=-6`.