On his way home from the laboratory, Louie realized that he left a test tube containing 2560 yeast cells in the lab. Every two minutes, the number of cells in the test tube increases by 50 percent. If the number of cells reaches 98,415, the test tube will explode! Naturally, he turned around and rushed back to the lab.
It took Louie t minutes to return to the lab, and he found the test tube intact.
Write an inequality in terms of t that models the situation.