Question

Part A: Solve −np − 80 < 60 for n. Show your work. (4 points) Part B: Solve 2a − 5d = 30 for d. Show your work. (6 points)

Answer 1

Explanation:

`\bold{PART\ A}\\\\-np-80<60\qquad\text{add 80 to both sides}\\\\-np-80+80<60+80\\\\-np<140\qquad\text{change the signs}\\\\np>-140\\\Downarrow\\\text{if}\ p>0,\ \text{then}\ \boxed{n>-(140)/(p)}\\\\\text{if}\ p<0,\ \text{then}\ \boxed{n<-(140)/(p)}`

`\bold{PART\ 2}\\\\2a-5d=30\qquad\text{subtract}\ 2a\ \text{from both sides}\\\\2a-2a-5d=30-2a\\\\-5d=30-2a\qquad\text{divide both sides by (-5)}\\\\(-5d)/(-5)=(30-2a)/(-5)\\\\\boxed{d=(2a-30)/(5)}`