Question

More than one interval write the intervals 20-|8x+1|>=3

Answer 1

x=23/160 and x<-1/2

Explanation:

first of all divide both sides by 20

-|8x+1|>3/20

divide both sides by a negative 1

|8x+1|>-3/20

because there is a > symbol, make to equations

8x+1>-3/20

-(8x+1)>-3/20

let's solve the first inequality:

8x+1>-3/20

subtract one to both sides

8x>23/20

multiply both sides by the LCD (20)

160x>23

divide both sides by 160

x=23/160

2nd inequality:

-(8x+1)>3

you can distribute the -1 to the parentheses or divide both sides by a -1

this time I'll divide both sides by a negative 1

8x+1<-3

notice that when you divide by a negative, you switch the sign!!

subtract both sides by -1

8x<-4

divide by 8

x<-1/2