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

Explanation:

Part A:

The inequality is–vp + 40 < 95.

Work:

We subtract 40 to both sides = –vp < 55. Now, we divide both sides by -p. = v > 55/-p

Part B: Inequality is 8w − 3r = 45.

Work:

We Subtract 8w to both sides = 3r = 45 - 8w. Now, we divide both sides by -3 = r = -15 + 8w and then r = 8/3w - 15.

Answer 2

A)
`v>-(55)/(p)`

B)
`r=(8)/(3)w-15`

Explanation:

A)

The inequality is

–vp + 40 < 95

Subtract 40 to both sides

–vp < 95 - 40

-vp< 55

Now, divide both sides by -p. Whenever, we divide by a negative number inequality sign changes

`v>(55)/(-p)\\\\</p><p>B)</p><p>The given equation is</p><p>[tex]8w-3r=45`

Subtract 8w to both sides

`-3r=45-8w`

Divide both sides by -3

`r=-15+(8w)/(3)\\\\r=(8)/(3)w-15`