Answer:
Given inequality.
[tex]4x-6>2x-(4-2x)[/tex]
Solution:
Solving for [tex]x[/tex].
Using distribution to remove parenthesis by revering the signs of terms after the negative.
[tex]4x-6>2x-4+2x[/tex]
Combining like terms
[tex]4x-6>4x-4[/tex] [ ∵ [tex]2x+2x=4x[/tex]]
Subtracting both sides by [tex]4x[/tex]
[tex]4x-6-4x>4x-4-4x[/tex]
[tex]-6>-4[/tex]
We get -6 greater than -4 which is not true, hence we conclude that the inequality has no solutions.
