Universal and Existential Quantifiers

True or False?

Rewrite the following statements into informal English, and determine their truth or falsity:

  1. x P, x is even.

  2. y Q, y is prime.

  3. x P | x * 2 < 10.

  4. y Q | y2 = y.

  5. x P, y Q | x + 1 < y.