Question

solve the inequality and graph the solution.\\(\frac{h}{2} - 8 \leq -6\\)\
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.\
-5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Add 8 to both sides

To isolate the term with \( h \), we add 8 to both sides of the inequality.

$$ \frac{h}{2}-8 + 8\leq - 6+8 $$

Simplifying both sides, we get:

$$ \frac{h}{2}\leq2 $$

Step2: Multiply both sides by 2

To solve for \( h \), we multiply both sides of the inequality by 2.

$$ \frac{h}{2}\times2\leq2\times2 $$

Simplifying both sides, we get:

$$ h\leq4 $$

Answer:

The solution to the inequality is \( h\leq4 \). To graph this, we plot a closed dot at \( 4 \) (since the inequality is "less than or equal to") and draw a ray to the left of \( 4 \) on the number line.