Question

Solve the inequality.

(x-4) >12-28
A. >>
x>
O B. x>-5
C. x > 7
O D.

Answer 1

`\huge x > (7)/(3) \\`

Explanation:

`8( (1)/(2) x - (1)/(4) ) > 12 - 2x \\`

Expand the terms in the bracket

That's

`8( (1)/(2) x) - 8( (1)/(4) ) > 12 - 2x \\ 4x - 2 > 12 - 2x`

Move -2x to the other side of the inequality

`4x + 2x - 2 > 12 \\ 6x - 2 > 12`

Move - 2 to the other side of the inequality

`6x > 12 + 2 \\ 6x > 14`

Divide both sides by 6

`(6x)/(6) > (14)/(6) \\`

We have the final answer as

`x > (7)/(3) \\`

Hope this helps you