Discussion

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)...
(F)...
*This question is included in Nova Press: Set D - Defined functions, question #14

The solution is

Posted: 03/26/2012 02:08
Is there any way to solve for Scenarios I and III other than substitution? Phrased somewhat differently, who has the time to plug in an infinite number of possible numbers in a multivariable equation. I understand why II is facially wrong, but there has to be an easier way to determine that I and III are facially right.
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Posted: 03/26/2012 10:28
Scott, if x=y, then 4x+y=-4 becomes 5x=-4, and x=y=-4/5. For x
Posted: 03/26/2012 22:56
Thanks. Got it.
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Posted: 03/26/2012 23:43
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Posted: 10/19/2013 17:28
Where did you get 4/5 from?
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Posted: 10/19/2013 21:57
Mohammed, 4 and 5 are just sample x and y that can be plugged into the equation to test the validity of the statements.
Posted: 02/26/2014 17:24
But I don know the 4/5, will it success if I choose other sample?
Posted: 02/28/2014 10:50
Michael, why don't try other sample numbers and see?

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