Question

solve the inequality and graph the solution.
\\(\frac{z + 6}{2}\leq5\\)
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: Multiply both sides by 2

$2\times\frac{z + 6}{2}\leq2\times5$
$z + 6\leq10$

Step2: Subtract 6 from both sides

$z+6 - 6\leq10 - 6$
$z\leq4$

Answer:

The solution of the inequality is $z\leq4$. On the number - line, plot a closed circle at $z = 4$ and draw a ray to the left.