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HarveyKlaus
Is lxl = lyl ?

A) x=-y
b) x^2 = y^2

I found this question in GMAT Prep and selected ST2 as the answer but that's wrong.

Normally, x^2 would equal to lxl since it will contain both signs "positive as well as negative". How come st 1 is true?

Does it assume that since +x = -y, it must be true that -x is also equal to -y or?

What am I missing? :(

Thanks for your hep!

You are asked whether |x|=|y| or in other words, is the distance of x from 0 = distance of y from 0 ? You would get a yes if x= y or x=-y. Lets evaluate the choices.

Per statement 1:\(x=-y\) . Clearly this is one of the conditions we are looking for. Assume 2-3 different values. x=2, y = -2 --> 2 and -2 are both 2 units from 0 . Similar for 3/-3 or 10/-10 etc. Thus this statement is sufficient.

Per statement 2: \(x^2=y^2\) ---> \(x= \pm y\). Again both the cases, x=y and x=-y give you a "yes" for the question asked as is hence sufficient.

Both statements are sufficient ---> D is the correct answer.
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Is |x| = |y| ?

(1) x = –y
(2) x^2 = y^2
The answer is D
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Bunuel, GMAT Prep question. Could you please tag it?
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Bunuel, GMAT Prep question. Could you please tag it?
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Done. Thank you!
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