Given x less than y, compare the following expressions and determine which is greater: 2x-y;2y-x. Explain your answer.
1 answer:
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Given:
A number line going from negative 2.5 to positive 2.5 in increments of 0.5.
To find:
The inequality which is true.
Solution:
Consider the number line as shown in the below figure.
We know that, on a line as we go to the left direction, the number become smaller and as we go right, the numbers become larger.
From the number line it is clear that -1.5 is on the left side of 0.5. So,
Hence, option A is incorrect.
-0.5 is on the left side of 0. So,
Hence, option B is incorrect.
-1.5 is on the left side of -0.5. So,
Hence, option C is correct.
One half is equal to 0.5.
Hence, option D is incorrect.