How do I solve the inequality?
Hello,if 20+1/2x>0 then |20+1/2x|=20+1/2xthus 20+1/2x>6==> 1/2x>6-20==>x>2(-14)==>x>-28if 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< -52Sol =(-infinity, -52[ ∪ ] -28, +infinty)