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Mathematics 20 Online
OpenStudy (anonymous):

Which is a counterexample that disproves the conjecture? A student concludes that if x is a positive real number, then x≥√x. A. x=0 B. X=0.25 C. X=3 D. X=-1

OpenStudy (anonymous):

any guess?

OpenStudy (anonymous):

I think the only "real number" is c

OpenStudy (anonymous):

no, you should give a counterexample as to why the inequality is incorrect.

OpenStudy (anonymous):

I know but it asks for a positive real number as the answer. So I thought it could only be C but I'm not surr

OpenStudy (anonymous):

try B to see what you get

OpenStudy (anonymous):

1/4 >=1/2 are false

OpenStudy (anonymous):

0.25≥√x

OpenStudy (anonymous):

0.25≥√0.25

OpenStudy (anonymous):

remember sqrt of 0.25 is 0.5

OpenStudy (anonymous):

Oops! Option D isn't supposed to be negative!! Sorry

OpenStudy (anonymous):

Okay so 0.25≥0.5. The statement is true!

OpenStudy (anonymous):

I'm sorry NOT true lol

OpenStudy (anonymous):

yep!

OpenStudy (anonymous):

Thanks!!

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