Exercise 12.
Let \(P(x)\) be the predicate, “\(3x+1\) is even.”
Is \(P(5)\) true or false?
True
False
Neither (not a statement)
What, if anything, can you conclude about \(\exists x P(x)\) from the truth value of \(P(5)\text{?}\)
What, if anything, can you conclude about \(\forall x P(x)\) from the truth value of \(P(5)\text{?}\)