Question

Part A: Solve −vp + 40 < 65 for v. Show your work. (4 points)

Part B: Solve 7w − 3r = 15 for r. Show your work. (6 points)

(10 points)

Answer 1

-vp + 40 < 65

we want v by itself on one side of the inequality sign.
start by subtracting 40 from both sides, so all you have left is -vp on the left side.

now, since we want v by itself, you can divide both sides by p to get -v on the left side.

now, since we want positive v, divide both sides by (-1).

**important** since you divide both sides by a negative number, you must change the direction of the inequality sign from < to >

part B follows a similar logic, except since it's an equals sign instead of an inequality sign, you don't have to worry about the direction of the sign. just solve for r.