HELPP

[weary crane]

determine the validity of the following proposition

∀x∈Z, P(x):√(5−x​)>0

solve P(6)
i know this is √-1, i just wanna know how can i prove that this proposition is false

[solar tendon]

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[echo orbit]

By counterexample, no?

Since you can't compare complex numbers to real ones.

Or you can just solve for the domain.

[weary crane]

I just want a reason supported by some law or something that allows me to say that the proposition is false

or theres no law that allows me to affirme that?

ty

[echo orbit]

I think the domain of the function shows such.

[timid pond]

Is it true that i > 0?

[weary crane]

I mean it's invaluable but I want a grounded idea as the basis for my argument as to why it's correct to say this proposition is false.

[timid pond]

...yes, and we can prove by contradiction that i > 0 is false.

[south coyote]

@weary crane

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[weary crane]

+close

[south coyote]

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