SOLUTION: I'm trying to solve, using addition and multiplication principles. Problem: 3/4(3x-1/2)-2/3<1/3 Calculator gave answer: x<11/18 I don't know the steps to arrive at this answer,

Algebra ->  Inequalities -> SOLUTION: I'm trying to solve, using addition and multiplication principles. Problem: 3/4(3x-1/2)-2/3<1/3 Calculator gave answer: x<11/18 I don't know the steps to arrive at this answer,      Log On


   

Question 526677: I'm trying to solve, using addition and multiplication principles.
Problem: 3/4(3x-1/2)-2/3<1/3
Calculator gave answer: x<11/18
I don't know the steps to arrive at this answer, and must show my work for homework assignment due 11/6/11. Can you assist me with the process?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283%2F4%29%283x-1%2F2%29-2%2F3%3C1%2F3 Start with the given inequality.


%289%2F4%29x-3%2F8-2%2F3%3C1%2F3 Distribute.


Multiply EVERY term by the LCD 24 to clear out the fractions.


54x-9-16%3C8 Multiply and simplify.


54x-25%3C8 Combine like terms on the left side.


54x%3C8%2B25 Add 25 to both sides.


54x%3C33 Combine like terms on the right side.


x%3C%2833%29%2F%2854%29 Divide both sides by 54 to isolate x.


x%3C11%2F18 Reduce.


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Answer:

So the solution is x%3C11%2F18

If you need more help, email me at jim_thompson5910@hotmail.com

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Jim