Question

What is the solution to the inequality?

Answer 1

ANSWER

A.

$x < - 2$


EXPLANATION

The given inequality is

$10x + 18 < - 2$


We add the additive inverse of 18, which is -18 to both sides of the equation to get,




$10x + 18 + - 18 < - 2 + - 18$


Recall that,

$- + = -$

This implies that,


$10x + 18 - 18 < - 2 - 18$


We simplify to get,


$10x + 0 < -20$


$10x < - 2 0$


We now divide both sides by 10 to obtain,


$\frac{10x}{10} < \frac{ - 20}{10}$


We cancel out the common factors to get,

$x < - 2$


The correct answer is A.

Answer 2

10 x + 18 < - 2

1) Sum - 18 to both sides => 10x < -20

2) Divide by 2 both sides => x < -2

Answer: option A, x < -2