Question

Pease hurry

Solve the inequality for x. Show each step of the solution.

10x>8(3x-2)-12

Answer 1

Given:

`10x>8(3x-2)-12`

To find:

The values of x.

Solution:

We have,

`10x>8(3x-2)-12`

`10x>8(3x)+8(-2)-12` (Distributive property)

`10x>24x-16-12`

`10x>24x-28` (Combining like terms)

Add 28 on both sides.

`10x+28>24x`

Subtract 10x from both sides.

`28>24x-10x`

`28>14x`

Divide both sides by 14.

`(28)/(14)>x`

`2>x`

Therefore, the values of x are all real numbers less than 2, i.e., x<2 .