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solve the inequality and graph the solution. 13h - 15 ≤ 11 plot the end…

Question

solve the inequality and graph the solution.
13h - 15 ≤ 11
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: Add 15 to both sides

$$13h-15 + 15\leq11 + 15$$
$$13h\leq26$$

Step2: Divide both sides by 13

$$\frac{13h}{13}\leq\frac{26}{13}$$
$$h\leq2$$

Answer:

The solution of the inequality \(13h - 15\leq11\) is \(h\leq2\). On the number - line, we place a closed circle at \(h = 2\) (because the inequality includes equality, i.e., \(\leq\)) and draw a ray to the left of \(2\) to represent all values of \(h\) that are less than or equal to \(2\).