Question 202681
{{{t/3-t/2>3/4}}} Start with the given inequality.



{{{cross(12)^4(t/cross(3))-cross(12)^6(t/cross(2))>cross(12)^3(3/cross(4))}}} Multiply EVERY term by the LCD {{{12}}} to clear the fractions.



{{{4t-6t>9}}} Multiply and simplify.



{{{-2t>9}}} Combine like terms on the left side.



{{{t<(9)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{t}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{t<-9/2}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{t<-9/2}}} 



Which in decimal form is {{{t<-4.5}}}