Finding the Minimum Internet Speed for Cost

A cable company offers two tiers of internet service. The first tier costs $T_1 = 30 + 5m$ dollars per month, where $m$ is the number of megabits per second. The second tier costs $T_2 = 50 + 2m$ dollars per month. If the total cost for the first tier exceeds the total cost for the second tier, what is the minimum value of $m$ that satisfies this condition?