SOLUTION: 1/4{5x-1/2}-1/3<2/3 use builder notation and solve {xlx } the l is post to be a straight line

Algebra ->  Inequalities -> SOLUTION: 1/4{5x-1/2}-1/3<2/3 use builder notation and solve {xlx } the l is post to be a straight line      Log On


   

Question 151534: 1/4{5x-1/2}-1/3<2/3 use builder notation and solve {xlx } the l is post to be a straight line
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F4%29%285x-1%2F2%29-1%2F3%3C2%2F3 Start with the given inequality.


%285%2F4%29x-1%2F8-1%2F3%3C2%2F3 Distribute.


24%28%285%2Fcross%284%29%29x-1%2Fcross%288%29-1%2Fcross%283%29%29%3C24%282%2Fcross%283%29%29 Multiply both sides by the LCD 24 to clear any fractions.


30x-3-8%3C16 Distribute and multiply.


30x-11%3C16 Combine like terms on the left side.


30x%3C16%2B11 Add 11 to both sides.


30x%3C27 Combine like terms on the right side.


x%3C%2827%29%2F%2830%29 Divide both sides by 30 to isolate x.


x%3C9%2F10 Reduce.


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Answer:

So the answer is x%3C9%2F10


Which approximates to x%3C0.9



So the solution set is


Also, the answer in interval notation is



Here's the graph of the solution set



Note: there is an open circle at x=0.9