Question

Solve :

4x - 6 > 2x - (4 - 2x)
Also, Explain how you arrived at your answer and what it means.

Answer 1

Given inequality.

`4x-6>2x-(4-2x)`

Solution:

Solving for
`x`.

Using distribution to remove parenthesis by revering the signs of terms after the negative.

`4x-6>2x-4+2x`

Combining like terms

`4x-6>4x-4` [ ∵
`2x+2x=4x`]

Subtracting both sides by
`4x`

`4x-6-4x>4x-4-4x`

`-6>-4`

We get -6 greater than -4 which is not true, hence we conclude that the inequality has no solutions.