Exercise 13.

Let \(P(x)\) be the predicate, “\(4x+1\) is even.”

  1. Is \(P(5)\) true or false?

    • True

    • False

    • Not enough information

  2. What, if anything, can you conclude about \(\exists x P(x)\) from the truth value of \(P(5)\text{?}\)

  3. What, if anything, can you conclude about \(\forall x P(x)\) from the truth value of \(P(5)\text{?}\)

in-context