Final answer:
To solve the inequality x² < 5x -6, factor the quadratic equation to get (x-2)(x-3) < 0. This means that the inequality is true when x is between 2 and 3.
Step-by-step explanation:
To solve the inequality x² < 5x -6, we can start by rearranging it to have one side equal to zero: x² - 5x + 6 < 0. Then, we can factor the quadratic equation to get (x-2)(x-3) < 0. This means that the inequality is true when x is between 2 and 3.