Question

-8x + 2x -16 < -5x + 7x could you explain the answer

Answer 1

Answer:

x > -2

Step-by-step 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.

$\frac{-16}{8} < \frac{8x}{8}$

$-2 < x$