Question

1) Solve the inequality −vp + 30 < 45 for v.
2) Solve 3w − 6r = 30 for r.

Answer 1

To solve the inequality -vp + 30 < 45 for v, subtract 30 from both sides and divide by -p to isolate v.

Step-by-step explanation:

To solve the inequality -vp + 30 < 45 for v, we need to isolate v on one side of the inequality.

Step 1: Subtract 30 from both sides of the inequality:

-vp < 15

Step 2: Divide both sides of the inequality by -p. Note that if p is negative, we need to flip the inequality sign:

v > 15/p

So the solution to the inequality is v > 15/p.