Question

solve the inequality and graph the solution.
5h - 10 > 10
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
submit

Explanation:

Step1: Add 10 to both sides

To isolate the term with \( h \), we add 10 to both sides of the inequality \( 5h - 10>10 \).
\[
5h - 10 + 10>10 + 10
\]
Simplifying both sides, we get \( 5h>20 \).

Step2: Divide by 5

To solve for \( h \), we divide both sides of the inequality \( 5h>20 \) by 5.
\[
\frac{5h}{5}>\frac{20}{5}
\]
Simplifying, we find \( h > 4 \).

Answer:

The solution to the inequality \( 5h - 10>10 \) is \( h > 4 \). To graph this, we draw an open circle at \( h = 4 \) (since the inequality is strict, \( h
eq4 \)) and shade the region to the right of 4 on the number line.