Solve the inequality. Graph the Solution.

Question

8|x+3/4|<2

a)x<-1 or x>-1/2
b)-5/32<x<5/32
c)-1<x<-1/2
d)x<-5/32 or >5/32

Answer 1

8|x+3/4| < 2
8(x+3/4) < 2
8x+6 < 2
8x < 2-6
8x < -4
X < -1/2.

8|-x-3/4| < 2
8(-x-3/4) < 2
-8x-6 < 2
-8x < 2+6
-8x < 8
X > -1

Solution Set: -1< X < -1/2.