For this case we will show that the correct option is option C.
![x ^ 2 \leq16](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mf9loum7baowebry27t081hljuiruyqxfe.png)
We find the value of the variable "x":
We apply root to both sides of the equation to eliminate the exponent:
![x \leq \pm \sqrt {16}\\x \leq \pm4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/x133k9n95j7t8fn9d3h0olfwbybzo9fm4i.png)
We found the first solution with the positive value:
![x \leq4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/93my71wnu04oqawf54qozkcn920utm5lnx.png)
We use the negative value to find the other solution. Since it is an inequality, the sign of the inequality changes in the negative portion of the solution.
![x \geq-4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rrv7ht68o8ho0usag8z280i58w06rfqo6i.png)
So, the roots are:
![x_ {1} \geq-4\\x_ {2} \leq + 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qy6rokpbk5mjdmoz57barpugw05qadwdqe.png)
The solution is given by the values of "x" greater than or equal to -4 and less than or equal to 4
Answer:
Option C