Question

Part A: Solve –vp + 40 < 95 for v. Show your work. (4 points) Part B: Solve 8w – 3r = 45 for r. Show your work. (6 points)

Answer 1

Part A:  

-vp + 40 < 95

       -40    -40

        -vp < 55

      -vp/p < 55/p

         -v < 55/p

         -v > 55/p

Answer 2

Subtract 40 from both sides
-vp+40-40<95-40

Simplify
-vp<55
Multiply both sides by -1 (reverse the inequality)

(-vp) (-1) > 55 (-1) 

Simplify
vp> -55 

Divide both sides by v

vp ÷ v > -55 ÷ v 

Simplify
p> -55 ÷ v