SOLUTION: I am struggling horribly with this question. Solve the inequality for t t/3

SOLUTION: I am struggling horribly with this question. Solve the inequality for t t/3 - t/2 > 3/4

Question 255661: I am struggling horribly with this question.
Solve the inequality for t
t/3 - t/2 > 3/4
Found 2 solutions by drk, EMStelley:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Here is the question:

step 1- find a common denominator. It is 12.
step 2 - multiply everything by 12 to get

step 3 - combine like terms on the left to get

step 4 - divide by (-2). Remember when you divide by a (-) you must reverse the inequality. we get

Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!

The main problem here is that we need to combine the two fractions on the left hand side of the inequality. Thus, we need to find the common denominator. Our two denominators here are 3 and 2, so the lowest common multiple of these is 6. So our common denominator is 6. This means that we need to multiply the first fraction by 2/2 and the second fraction by 3/3 to transform them both into fractions with 6 as the denominator. Thus, we have:

Combining the fractions on the left hand side gives us:

Now we are ready to solve for t. To start, we can multiply both sides of the inequality by 6:

And last, we need to multiply both sides by -1, remembering that you must flip the inequality when multiplying or dividing by a negative number:

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