Solve the following compound

inequality.

0.5b > - 6 or 3b + 16 <-8 + b

(-00,[?][ ]U[[ ],00)

b-12

(-∞,-12]U[-12,∞)

Step-by-step explanation:

0.5b > - 6 or 3b + 16 <-8 + b

I solve these separately

0.5b > - 6

Divide by. 5 on each side

0.5b/.5 > - 6/.5

b >-12

or

3b + 16 <-8 + b

subtract b from each side

3b-b + 16 <-8 + b - b

2b+16<-8

Subtract 16 from each side

2b+16-16<-8-16

2b< - 24

Divide each side by 2

2b/2 <-24/2

b<-12

b-12