SOLUTION: Use the set builder notation to describe the complete solution. 7/4(3x-1/2)-4/3<5/3

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Question 156642: Use the set builder notation to describe the complete solution.
7/4(3x-1/2)-4/3<5/3
Found 2 solutions by stanbon, oscargut:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the set builder notation to describe the complete solution.
7/4(3x-1/2)-4/3<5/3
---------------------------------------------
(21/4)x - (7/8) - (4/3) < (5/3)
Add (4/3) to both sides to get:
(21/4)x - (7/8) < 3
Multiply thru by 8 to get:
42x - 7 < 24
Add 7 to both sides to get:
42x < 31
x < 31/42
----------------
Set Builder: {x| x < (31/42)}
=================================
Cheers,
Stan H.

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
%287%2F4%29%283x-1%2F2%29-4%2F3%3C5%2F3
then
%287%2F4%29%283x-1%2F2%29%3C5%2F3%2B4%2F3
then
%287%2F4%29%283x-1%2F2%29%3C9%2F3
then
3x-%281%2F2%29%3C%289%2F3%29%284%2F7%29
then
3x-%281%2F2%29%3C36%2F21
then
3x%3C%2836%2F21%29%2B%281%2F2%29
then
3x%3C%2872%2F42%29%2B%2821%2F42%29
then
3x%3C%2893%2F42%29
then
x%3C31%2F42
Solution set:{x/x<31/42}