Question

solve the inequality and graph the solution.
10 + 5m > -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: Subtract 10 from both sides

To isolate the term with \( m \), we subtract 10 from both sides of the inequality \( 10 + 5m > -10 \).
\[
10 + 5m - 10 > -10 - 10
\]
Simplifying both sides, we get:
\[
5m > -20
\]

Step2: Divide both sides by 5

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

Answer:

The solution to the inequality is \( m > -4 \). To graph this, we place an open circle at \( -4 \) (since the inequality is strict, \( m
eq -4 \)) and draw a ray to the right of \( -4 \) on the number line.