which equation has no solution

Answer:
|[tex]4x-2[/tex]|[tex]=-6[/tex]
Step-by-step 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 ( |[tex]4x-2[/tex]|[tex]=-6[/tex]), 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: |[tex]4x-2[/tex]|[tex]=-6[/tex].
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