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If x # y = −1, which of the following could be true?   I. ... ...

If x # y = −1, which of the following could be true?   I. x = y  II. x > y III. x < y


(A) I only
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set C: Defined Function

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Replies to This Thread: 1 | ----
 
Posted: 06/28/2012 12:23
Can Statement 1 be proved with another example other than -4/5 ? Or without any numerical values just using the basic algebra without substitution
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Posted: 06/28/2012 13:10
Rania,

Yes, you can. Based on the statement I. x = y,

you can simplify the equation x # y = x +y/4 = -1 to:
x + x/4 = -1, (replace y with x)

then:
x(1+1/4) = -1
x(5/4) = -1
x = - 4/5

So we know x = -4/5 and y = -4/5 will make x#y = -1, while x = y
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Posted: 06/28/2012 13:11
Superb, thanks a lot !! :)
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