SOLUTION: Solve for Z |6-z|<7

Algebra ->  Systems-of-equations -> SOLUTION: Solve for Z |6-z|<7      Log On


   



Question 68879: Solve for Z
|6-z|<7

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
Write |6-z|<7 as a conjunction
6 - z < 7    and   6 - z > -7
-z < 1       and      -z > -13   Multiply each side by -1. Change the inequality symbol. 
z > -1       and       z < 13   

the solution set is {z: -1 < z < 13}. the values are between -1 and 13