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solve the inequality and graph the solution. 10 ≤ z + 16 plot the endpo…

Question

solve the inequality and graph the solution.
10 ≤ z + 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: Subtract 16 from both sides

$$10 - 16\leq z+16 - 16$$

Step2: Simplify

$$- 6\leq z$$

Answer:

The solution of the inequality \(10\leq z + 16\) is \(z\geq - 6\). On the number - line, we plot a closed circle at \(-6\) (because the inequality is \(\geq\), so the endpoint is included) and draw a ray to the right.