Comparing Gym Membership Plans

A local gym offers two membership plans for customers. Plan A has a one-time sign-up fee of $50 and a monthly fee of $30. Plan B has a one-time sign-up fee of $20 and a monthly fee of $40.

Let x represent the number of months a customer maintains their membership.

Write an inequality that represents the number of months for which Plan A is cheaper than Plan B. Then, solve for x to find out how many months it takes for Plan A to become more economical than Plan B.