Question

Which is a counterexample that disproves the conjecture?



A student concludes that if x is a real number, then x^2 ≤ x^4
A. 0
B. 1/4
C. 1
D. 5/4
.

Answer 1

@vzfreakz

Answer 2

I think 0 or 1?

Answer 3

that is wrong

Answer 4

0^2<= 0^4 is a true statement

1^2<= 1^4 is a true statement

so these two are not good options

but

\((\frac{1}{4})^2=\frac{1}{16}\cancel{\le}\frac{1}{256}=(\frac{1}{4})^4\)

Answer 5

you needed to find a number that makes \(x^2\le x^4\)

Answer 6

a false statement