Question

How do I solve the inequality?

Answer 1

Hello,

if 20+1/2x>0 then |20+1/2x|=20+1/2x
thus 20+1/2x>6
==> 1/2x>6-20
==>x>2*(-14)
==>x>-28

if 20+1/2x<0 then |20+1/2 x|=-(20+1/2 x)
thus -(20+1/2 x)>6
==>20+1/2x<-6
==>1/2 x <-6-20
==>x<2 *(-26)
==>x< -52

Sol =(-infinity, -52[ ∪ ] -28, +infinty)