Answer
-3 $\leq$ x $\leq$ 3
Work Step by Step
This is a compound inequality so you have to separate it into two inequalities in order to solve.
First inequality:
4x $\leq$ 12 -divide both sides by 4-
x $\leq$ 3
Second inequality:
-7x $\leq$ 21 -divide both sides by -7-
x $\leq$ -3
Put both of the solutions on the same line starting with the lowest number so -3$\leq$ x $\leq$ 3