SOLUTION: 1(less than or equal to) 3/2z-2 (less than or equal to) 4 It says to solve the given inequality for the given variable.Simplify your solution, and give your answer in algebra

Algebra ->  Linear-equations -> SOLUTION: 1(less than or equal to) 3/2z-2 (less than or equal to) 4 It says to solve the given inequality for the given variable.Simplify your solution, and give your answer in algebra      Log On


   

Question 722797: 1(less than or equal to) 3/2z-2 (less than or equal to) 4
It says to solve the given inequality for the given variable.Simplify your
solution, and give your answer in algebraic notation. I have been stuck on this
one for 2 days. Please help!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1(less than or equal to) 3/2z-2 (less than or equal to) 4
:
1 <= 3%2F%28%282z-2%29%29 <= 4
treat it as two problems
1 <= 3%2F%28%282z-2%29%29
multiply both sides by (2a-2)
2z - 2 <= 3
2z <= 3 + 2
2z <= 5
z <= 5/2
z <= 2.5
and
3%2F%28%282z-2%29%29 <= 4
multiply both sides by (2z-2)
3 <= 4(2z-2)
3 <= 8z - 8
3 + 8 <= 8z
11 <= 8z
11/8 <= z
1.375 <= z
normally written (reverse the inequality sign)
z >= 1.375
:
therefore
z <= 2.5
and
z => 1.375