Choose the counterexample that disproves each conjecture.
A student concludes that if x is a real number, then x^2 > x.
A.
x = 1
B.
x = –2
C.
x = 3
D.
x = –1
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OpenStudy (anonymous):
@vzfreakz I believe it's -2?
OpenStudy (anonymous):
ur right
OpenStudy (anonymous):
Hmm. This could give me a moment. It's asking for any real number that could be applied.
OpenStudy (anonymous):
actually
OpenStudy (anonymous):
couldn't it be B or C
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OpenStudy (anonymous):
It could be 1.
OpenStudy (anonymous):
im confuzzled
OpenStudy (anonymous):
Yeah, I got stuck on that. Once I looked at the problem again I got -2 but im not sure
OpenStudy (anonymous):
confusing, haha
OpenStudy (anonymous):
yah I know
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OpenStudy (anonymous):
what do you think @vzfreakz
OpenStudy (anonymous):
This is what I would do.
Plug in all of the answer choices into x:
x^2
Say for instance -2^2 = 4
OpenStudy (anonymous):
You are trying to find the false statement in this equation.
OpenStudy (anonymous):
oh a falso statement
OpenStudy (anonymous):
Counterexample = false statement
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OpenStudy (anonymous):
then its A right
OpenStudy (anonymous):
because 1 is not greater than 1 it is equal to 1
OpenStudy (anonymous):
Yes, 'cause it's not a real number.
OpenStudy (anonymous):
so the answer is 1..
OpenStudy (anonymous):
Correct.
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