Question

Given: 3x < -6.

Choose the solution set.

{x | x < -2}
{x | x > -2}
{x | x < 2}
{x | x > 2}

Answer 1

Answer: FIRST OPTION.

Step-by-step explanation:

To know which is the solution set given the inequality $3x < -6$ you need to solve for the variable "x".

You must divide both sides by 3:

$3x < -6\\\\\frac{3x}{3}=\frac{-6}{3}$

Therefore, you get:

$x<-2$

Then, the solution set is the following:

{$x | x < -2$}

You can observe that this solution set matches with the first option.