Question

Graph the solution to this inequality on the number line.

−5m+10>−25

Answer 1

To solve the inequality, we need to isolate the variable m.

Subtract 10 from both sides of the inequality:

-5m + 10 - 10 > -25 - 10

-5m > -35

Next, divide both sides of the inequality by -5, remembering to reverse the inequality sign when dividing by a negative number:

-5m / -5 < -35 / -5

m < 7

To graph the solution on the number line, we use an open circle at 7 and shade to the left, since m is less than 7.

[ ) (--->
-∞ 7 +∞