Question

Given: 3x < -6. Choose the solution set.

Answer 1

Answer:

The required answer is ${x|x < -2}$.

Step-by-step explanation:

Consider the provided inequality

$3x$

Divide both side by 3.

$3x$

$x$

$x$

The sign of inequality will remain same.

Therefore, the required answer for the provided inequality is ${x|x < -2}$.

Answer 2

You want to isolate the variable using the division property of inequality:
3x / 3 < -6 / 3 = x < -2. The sign of the inequality stays the same since you did not change the order of the inequality nor did you divide by a negative number on both sides. Hopefully this helps!