Describe the steps you would use to solve the following inequality:

Answer:

Subtract 2 from both sides and combine over a common denominator to obtain (7 − 3x)/(2x − 3) > 0. Identify the critical values x = 3/2 and x = 7/3, then test the intervals they create. The expression is positive on (3/2, 7/3), so the solution is (3/2, 7/3); exclude the endpoints because the inequality is strict and the denominator is zero at x = 3/2.