How do you solve for b? b+7>3/2b+17

2 Answers

b<-20

Explanation:

b+7>3/2b+17

For ease, let's multiply through by 2 to get rid of the fraction:

2b+14>3b+34

Let's now group like terms:

2bcolor(red)(-2b-34)+14>3bcolor(red)(-2b-34)+34

-20>b

To show this graphically, draw an open circle around -20 on a number line (to show that it isn't part of the solution), and then draw a ray heading off towards - oo.

Dec 14, 2017

b<-20

Explanation:

b+7>3/2b+17

add -17 both sides;
b+7-17>3/2b+17-17
b-10>3/2b (add -b both sides)
-b+b-10>3/2b-b
-10>1/2b(multiply by 2 both sides)
2*(-10)>2*(1/2b)
-20>b
in other words;

b<-20