Question

Which compound sentence is equivalent to |x - 5| > 4?
A.x - 5 > 4 or x - 5 < -4
B.-4 < x - 5 < 4
C.-8 < 2x + 3 < 8
D.x - 5 = 4 or x - 5 = -4
E 2x + 3 > 8 or 2x + 3 < -8

Answer 1

D.x - 5 = 4 or x - 5 = -4

Answer 2

show solutions @Rohangrr for the benefit of other people who wanna study this thing for references ;D

Answer 3

|x - 5|=-(x-5) or (x-5) (coz |-(x-5)| =x-5 and |x-5|=x-5
put this back to the inequality, you will
-(x-5)>4 or x-5>4
x-5<-4 or x-5>4