SOLUTION: Solve the following inequality for t: ( all are fractions ) t/3 - t/2 > 3/4

Algebra ->  Algebra  -> Inequalities -> SOLUTION: Solve the following inequality for t: ( all are fractions ) t/3 - t/2 > 3/4      Log On

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Question 100034: Solve the following inequality for t: ( all are fractions )
t/3 - t/2 > 3/4
Answer by jim_thompson5910(21670) About Me  (Show Source):
You can put this solution on YOUR website!

t%2F3-t%2F2%3E3%2F4 Start with the given equation


%2812%29%28t%2F3-t%2F2%29%3E%283%2F4%29%2812%29 Multiply both sides by the LCM of 12. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



4t-6t%3E9 Distribute and multiply 12 by each term on both sides



-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: dividing by both sides by a negative number flips the inequality sign)



t%3C-9+%2F+2 Reduce

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Answer:
So our answer is t%3C-9+%2F+2 (which is t%3C-4.5 in decimal form)