Question

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

Answer 1

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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