thaliaperez145 thaliaperez145

02-10-2018
Mathematics

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

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sqdancefan sqdancefan

02-10-2018

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.

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