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 \( 5r - 10 > 5 \). This gives us \( 5r - 10 + 10 > 5 + 10 \), which simplifies to \( 5r > 15 \).

Step2: Divide both sides by 5

To solve for \( r \), we divide both sides of the inequality \( 5r > 15 \) by 5. This gives us \( \frac{5r}{5} > \frac{15}{5} \), which simplifies to \( r > 3 \).

For graphing, we have an open circle at \( r = 3 \) (since the inequality is strict, \( > \), not \( \geq \)) and we draw a ray to the right of 3 on the number line.

Answer:

The solution to the inequality is \( r > 3 \). To graph it, place an open dot at 3 on the number line and draw an arrow pointing to the right (towards larger numbers).