The solution set of which of the following inequalities is shown on the number line above?

x^{2} ≥ 36

x^{2} ≤ 36

|x| ≤ 36

$\sqrt{x}\le 36$

$\sqrt{x}\ge 36$

**Solution:**

On the number line, we see that the shaded region is between -6 and 6, and both -6 and 6 are included. Thus, this region represents the inequality *$-6\le x\le 6$**. *Or, written another way, this inequality is *$-\sqrt{36}\le x\le \sqrt{36}$**. *Using the patterns we observed in this section, we know this is the solution set of the inequality *${x}^{2}\le 36$**.*