Posted by **brandon** on Monday, August 27, 2012 at 10:01pm.

solve the inequality

8/x+3/4/<2 used / / for brakets around x+3/4

possible answers

x<-1 or x>-1/2

-5/32<x<5/32

-1<x<-1/2

x<-5/32 or x>5/32

not looking for just the answer but help on how to do it

- math -
**Steve**, Tuesday, August 28, 2012 at 12:20pm
8(x + 3/4) < 2

8x + 6 < 2

8x < -4

x < -1/2

Ahh. by brackets you mean || for absolute value?

8|x + 3/4| < 2

if x+3/4 >= 0, then

x < -1/2 as above

if x+3/4 < 0, then

-8(x + 3/4) < 2

-8x - 6 < 2

-8 < 8x

x > -1

-1 < x < -1/2

- math -
**brandon**, Wednesday, August 29, 2012 at 12:05pm
Thank you for explaining

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