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Re: |x|=|2y|, what is the value of x-2y?

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WholeLottaLove wrote:
Ok, so I get that Abs. value cannot be negative...distance cannot have a negative value.

We are trying to solve for x-2y, so naturally we are trying to determine x-2y. So,

If x=2y then the value of x-2y = 2y-2y = 0
OR
If x=-2y (the absolute value of 2y) then the value of x-2y = -2y-2y = -4y, correct?

I guess what throws me off is when you write

When x\leq{0} then |x|=-x. What you're saying is that, for example, |-4| = -(-4) or |-4| = 4. What is the point of writing |-4| = -(-4)

I'm sorry for being such a dolt. Sometimes, concepts that I know are very simple are extremely difficult to understand.


Yes, that's correct: if x=2y, then x-2y=0 and if x=-2y, then x-2y=-4y.

As for the red part: it's just an example of the statement that if x\leq{0} then |x|=-x.

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