SOLUTION: t/3 � t/2

SOLUTION: t/3 � t/2 > 3/4

Question 268942: t/3 � t/2 > 3/4
Answer by persian52(161) (Show Source): You can put this solution on YOUR website!
(t)/(3)-(t)/(2)>(3)/(4)
Find the LCD (least common denominator) of (t)/(3)-(t)/(2)+(3)/(4).
Least common denominator: 12
Multiply each term in the inequality by 12 in order to remove all the denominators from the equation.
(t)/(3)*12-(t)/(2)*12>(3)/(4)*12
Simplify the left-hand side of the inequality by canceling the common terms.
-2t>(3)/(4)*12
Simplify the right-hand side of the inequality by simplifying each term.
-2t>9
Divide each term in the inequality by -2.
-(2t)/(-2)<(9)/(-2)
Simplify the left-hand side of the inequality by canceling the common terms.
t<(9)/(-2)
Simplify the right-hand side of the inequality by simplifying each term.
t<-(9)/(2)
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