Question

-8x + 2x -16 < -5x + 7x

could you explain the answer

Answer 1

x > -2

Explanation:

First, you simplify both sides of the inequality by combining like terms

`-8x + 2x -16 < -5x + 7x`

`-6x - 16 < 2x`

Then, you add 6x to both sides in order to isolate x (bring all the Xs to one side)

`-6x - 16 + 6x < 2x + 6x`

`-16 < 8x`

Lastly, you divide by 8 in order to cancel out 8x solve for x. Since 8 is not a negative number, you DO NOT flip the sign.

`(-16)/(8) < (8x)/(8)`

`-2 < x`