Question

Part A

Solve −np − 90 < 30 for n. Show your work.
Part B
Solve 5m − 3h = 45 for h. Show your work.

Answer 1

-np - 90 < 30
+ 90 + 90 * cancel - 90, add 90 to both sides
-np < 120
÷p ÷p * cancel p, divide both sides by p
-n < 120/p
÷ -1 ÷ -1 * cancel negative sign of n, divide both sides by -1
n < -120/p

5m - 3h = 45 : find value of h.

5m - 3h = 45
-5m - 5m * cancel 5m by subtracting it from both sides
-3h = 45 - 5m
÷ -3 ÷ -3 ÷ -3 *cancel -3 by dividing it from both sides
h = -15 + 5m