Question

Given x less than y, compare the following expressions and determine which is greater: 2x-y;2y-x. Explain your answer

Answer 1

Let's form the difference of the two expressions and see what we can learn.

(2y -x) -(2x -y) = 2y -x -2x +y = 3y -3x = 3(y -x)

Since y > x, this is positive, so 2y -x is greater than 2x -y.