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

Well in this case, to see which is greater, let's just say that:

x=4 < - - - 4 is less than 5

y=5

Now substitute:

2x-y 2y-x

2 (4) - 5 2 (5) - 4

8-5 10-4

3 6

Which of these is greater, 3 or 6? 6, obviously. Therefore, we know that 2y-x is greater.

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