Part a: solve -vp + 30 < 45 for v.. show your work. (4 points) part b: solve 3w – 6r = 30 for r. show your work. (6 points)

Part A: solve -vp+30<45
-vp+30<45
-vp+30-30<45-30
-vp< 15

IMPORTANT NOTE: whenever you ×/÷ an inequality by a NEGATIVE number on both sides you MUST flip the inequality sign to the opposite sign.

to isolate "v" on one side of the equations. divide each side by p. then multiply each side by -1 to solve for positive "v". (FLIP THE SIGN)
-vp<15
(-vp)/(p)<15/(p)
-v< (15/p)

(-1) * -v< (15/p) * (-1). (FLIP FROM < TO > )
v > -(15/p)

Answer part A: v > -(15/p)

Part B: Solve 3w - 6r=30. for "r"
3w-6r=30
3(w-2r)=30 divide each side by -3(to get rid of the 3 and make "r"positive)
(3(w-2r))/(-3)= 30/(-3)
-w+2r= -10. add w to both sides to get "r" alone.
w-w+r= w-10
2r=w-10. multiply by 1/2 on both sides to get "r" alone.

2r*1/2= (1/2)(w-10). distribute the (1/2)
r= (1/2)w -5

Final Answer Part B: r= (1/2)w-5