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