Step 1: Cross multiply making it
5 (2t+1) > 9(t)
t(2t+1) (t) 2t+1
Step 2: Now that the denominators are the same, we can make simplify it by dividing it by 't (2t+1)'
5(2t+1) > 9(t)
Step 3: Remove parenthesis
10t+5 > 9t
Step 4: Isolate t
10t>9t-5
t > -5 (FINAL ANSWER)