SOLUTION: 1/4(5x - 1/2) - 1/3 < 2/3 Use set builder notatoin to describe the complete solution.... Thank you for any help.....

Algebra ->  Equations -> SOLUTION: 1/4(5x - 1/2) - 1/3 < 2/3 Use set builder notatoin to describe the complete solution.... Thank you for any help.....      Log On


   

Question 139742: 1/4(5x - 1/2) - 1/3 < 2/3
Use set builder notatoin to describe the complete solution....
Thank you for any help.....
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F4%29%285x+-+1%2F2%29+-+1%2F3+%3C+2%2F3

Add 1%2F3 to both sides, then multiply both sides by 4


5x-1%2F2%3C4

Add 1%2F2 to both sides

5x%3C9%2F2

Multiply both sides by 1%2F5. Since you are multiplying by a positive, do not change the sense of the inequality.

x%3C9%2F10

The solution set is the set of all real numbers x such that x%3C9%2F10, or in set-builder: {x|x E R, x%3C9%2F10}