SOLUTION: I need your help to solve 3(2a-1)<4(2a-3)and express the solution in interval notation

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Question 587588: I need your help to solve 3(2a-1)<4(2a-3)and express the solution in interval notation
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%282a-1%29%3C4%282a-3%29 Start with the given inequality.


6a-3%3C8a-12 Distribute.


6a%3C8a-12%2B3 Add 3 to both sides.


6a-8a%3C-12%2B3 Subtract 8a from both sides.


-2a%3C-12%2B3 Combine like terms on the left side.


-2a%3C-9 Combine like terms on the right side.


a%3E%28-9%29%2F%28-2%29 Divide both sides by -2 to isolate a. note: Remember, the inequality sign flips when we divide both sides by a negative number.


a%3E9%2F2 Reduce.


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Answer:

So the solution is a%3E9%2F2


The answer in interval notation is
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