SOLUTION: Solve the following inequality for t: t/3-t/2>3/4

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Question 202681: Solve the following inequality for t:
t/3-t/2>3/4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
t%2F3-t%2F2%3E3%2F4 Start with the given inequality.


Multiply EVERY term by the LCD 12 to clear the fractions.


4t-6t%3E9 Multiply and simplify.


-2t%3E9 Combine like terms on the left side.


t%3C%289%29%2F%28-2%29 Divide both sides by -2 to isolate t. note: Remember, the inequality sign flips when we divide both sides by a negative number.


t%3C-9%2F2 Reduce.


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Answer:

So the solution is t%3C-9%2F2


Which in decimal form is t%3C-4.5