Question

Part a : solve - vp + 40 < 65 for v .

part b : solve 7w - 3r = 15 for r
show your work
help please !!!

Answer 1

`\large \text{Part a:}\\\\for\ d<0:\ \boxed{v<-(25)/(d)}\\\\for\ d>0:\ \boxed{v>-(25)/(d)}`

`\large\text{Part b:}\\\\\boxed{r=(7)/(3)w-5}`

Explanation:

`\text{Part a}\\\\-vp+40<65\qquad\text{subtract 40 from both sides}\\\\-vp<25\qquad\text{change the signs}\\\\vp>-25\qquad\text{divide both sides by }\ d\\eq0\\\\\text{if}\ d>0,\ \text{then}\ \boxed{v>-(25)/(d)}\\\\\text{if}\ d<0,\ \text{then you must flip the inequality symbol}\ \boxed{v<-(25)/(d)}`

`\text{Part b}\\\\7w-3r=15\qquad\text{subtract 7w from both sides}\\\\-3r=-7w+15\qquad\text{divide both sides by (-3)}\\\\\boxed{r=(7)/(3)w-5}`