Question

Find the solution set for this inequality: -3x -12> 8x+ 21

Answer 1

-3x - 12 > 8x + 21

Step 1: Combine like terms

x's go with x's (-3x and 8x). To do this add 3x to both sides

(-3x + 3x) - 12 > (8x + 3x) + 21

-12 > 11x + 21

Normal numbers go with normal numbers (-12 and 21). To do this subtract 21 to both sides

(-12 - 21) > 11x + (21 - 21)

-33 > 11x

Step 2: Isolate x by dividing 11 to both sides

-33/11 > 11x / 11

-3 > x

Hope this helped!

Answer 2

`x\:<\:-3`

Explanation:

The given inequality is:

`-3x-12\:>\:8x+21`

We group similar terms to obtain:

`-12-21\:>\:8x+3x`

Combine the similar terms to obtain:

`-33\:>\:11x`

Divide both sides by 11;

`-3\:>\:x`

Or

`x\:<\:-3`