Question

What value of x is in the solution set of 8x – 6 > 12 + 2x?

Answer 1

8x - 6 > 12 + 2x
8x - 2x > 12 + 6
6x > 18
x > 18/6
x > 3........so the solution set contains numbers greater then 3....and not including 3....so 4,5,6,7...and so on

Answer 2

The solution set is x∈R, x>3.

Explanation:

The given inequality is

`8x-6>12+2x`

We need to find the x of x for the given inequality.

Subtract 2x from bot sides.

`8x-6-2x>12+2x-2x`

On combining like terms, we get

`(8x-2x)-6>12+(2x-2x)`

`6x-6>12`

Add 6 on both sides.

`6x-6+6>12+6`

`6x>18`

Divide both sides by 6.

`(6x)/(6)>(18)/(6)`

`x>3`

The value of x is all real numbers which are greater than 3.

Solution set = x

Therefore the solution set is x∈R, x>3.