SOLUTION: how do you solve this equation and isolate the a.v. on the left? -18<-4|-2x+5|-2

Algebra ->  Absolute-value -> SOLUTION: how do you solve this equation and isolate the a.v. on the left? -18<-4|-2x+5|-2      Log On


   

Question 902848: how do you solve this equation and isolate the a.v. on the left? -18<-4|-2x+5|-2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
-18%3C-4abs%28-2x%2B5%29-2
-4abs%28-2x%2B5%29-2%3E-18
-4abs%28-2x%2B5%29%3E-16
abs%28-2x%2B5%29%3C4 <--- Divide by -4, switch the direction of inequality symbol.
-4%3C-2x%2B5%3C4
-9%3C-2x%3C-1
9%2F2%3Ex%3E1%2F2 <--- Divide by -2, switch the direction of inequality symbol.
1%2F2%3Cx%3C9%2F2