Question

solve the inequality and graph the solution. -16y ≥ 16 plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable y

Divide both sides of -16y ≥ 16 by -16. When dividing an inequality by a negative number, the direction of the inequality sign changes. So we have $y\leq\frac{16}{-16}$.

Step2: Simplify the right - hand side

$y\leq - 1$.

Answer:

The solution of the inequality is $y\leq - 1$. On the number - line, we plot a closed circle at -1 (since the inequality includes equality, i.e., $\geq$ became $\leq$ after dividing by a negative number) and draw a ray to the left of -1.