Paragraph

Use the table to decide whether the following statements are true or false.

1. \(\forall x \exists y P(x,y)\text{.}\)

   • True

   • False

   • Not enough information

2. \(\forall y \exists x P(x,y)\text{.}\)

   • True

   • False

   • Not enough information

3. \(\exists x \forall y P(x,y)\text{.}\)

   • True

   • False

   • Not enough information

4. \(\exists y \forall x P(x,y)\text{.}\)

   • True

   • False

   • Not enough information