Question

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions. She determines that x must be between 0 and 10 and y must be between 20 and 40. Determine if Chaneece found the correct solution. If not, state the correct solution.

Answer 1

Lemme write the equation

Answer 2

For the first one, substitue y with 40-x
x + (40 + x) <= 40

Answer 3

Solve and get the value of x. Do the same with the 2nd part, y with x-20. Solve and get the value of x. Doing so, you'd have the answer to your problem.