Question

When solved for x, which inequality represents the number line?

A)2 + 24x < 18 + 8x
B)2 + 24x > 18 + 8x
C)2 − 24x < 18 − 8x
D)2 − 24x > 18 − 8x

Answer 1

From the number line we have x < -1.

Answer: D) 2 - 24x > 18 - 8x

Because:

2 - 24x > 18 - 8x subtract 2 from both sides

-24x > 16 - 8x add 8x to both sides

-16x > 16 change the signs

16x < -16 divide both sides by 16

x < -1