Question

solve the inequality and graph the solution.
5r - 10 > 5
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 \( r \), we add 10 to both sides of the inequality \( 5r - 10>5 \).
\[
5r - 10 + 10>5 + 10
\]
Simplifying both sides, we get \( 5r>15 \).

Step2: Divide both sides by 5

To solve for \( r \), we divide both sides of the inequality \( 5r>15 \) by 5.
\[
\frac{5r}{5}>\frac{15}{5}
\]
Simplifying both sides, we get \( r > 3 \).

Answer:

The solution to the inequality \( 5r - 10>5 \) is \( r > 3 \). To graph this, we place an open circle at \( 3 \) (since the inequality is strict, \( r
eq3 \)) and draw a ray to the right of \( 3 \) on the number line.