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

(−v)(p)+40<95

−pv+40+−40<95+−40

−pv<55

-pv/-p < 55/-p

v > -55/p

 your final answer is -55/p

Answer 2

Answer:

A)$v>-\frac{55}{p}$

B)$r=\frac{8}{3}w-15$

Step-by-step 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

$v>\frac{55}{-p}\\\\B)The given equation is[tex]8w-3r=45$

Subtract 8w to both sides

$-3r=45-8w$

Divide both sides by -3

$r=-15+\frac{8w}{3}\\\\r=\frac{8}{3}w-15$