Thread: negations

Negate this sentence: If n is prime, then n is odd or n is 2.

I know the purpose is to just to negate the sentence no matter what.

The negation solution is: n is a prime and n is even and n is not 2.

So in discrete math, it doesn't matter if this is really true or not? its just an example???

i don't think its possible to have n be prime, and alos be even at the same time, if its not 2.

thanks for help with this.

Hello, rcmango!

Negate this sentence: .

We have: .

which is equivalent to: .


The negation is: . n\text{ odd}) \:\vee \n=2)\bigg] " alt="\sim\bigg[\sim\!(n\text{ prime}) \:\vee \n\text{ odd}) \:\vee \n=2)\bigg] " />

. . . . . . . . . .

. . . . . . . . . .