Question 268942
(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)