solve the inequality and graph the solution.\n$\frac{z}{2}+3leq2$\nplot the endpoints. select an endpoint to…

solve the inequality and graph the solution.\n$\frac{z}{2}+3leq2$\nplot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

solve the inequality and graph the solution.\n$\frac{z}{2}+3leq2$\nplot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Answer

Explanation:

Step1: Subtract 3 from both sides

$\frac{z}{2}+3 - 3\leq2 - 3$ $\frac{z}{2}\leq - 1$

Step2: Multiply both sides by 2

$2\times\frac{z}{2}\leq2\times(-1)$ $z\leq - 2$

Answer:

The solution of the inequality is $z\leq - 2$. On the number - line, we plot a closed circle at $z = - 2$ (because the inequality includes equality) and draw a ray to the left of $-2$.