- #1

brynjolf23

- 1

- 0

Hello everyone. This is my first post on this forum. Thank you for taking the time to help me with my question.

I have no idea where to start. :(

Question 1:

Find an example of a predicate P(x,y) where the domain of x and y are D such that

$\forall x \in D, \exists y \in D, P(x,y)$ is true but $\exists y \in D, \forall x \in D, P(x,y)$ is false.

Let D={1,2,3}

Question 2:

Is it possible to find a predicate P(x,y) such that:

$\exists y \in D, \forall x \in D, P(x,y)$ is true but $\forall x \in D, \exists y \in D, P(x,y)$ is false

Let D={1,2,3}

Question 3:

Is there any method of finding a suitable predicate? or do i just have to guess my way through?

I have no idea where to start. :(

Question 1:

Find an example of a predicate P(x,y) where the domain of x and y are D such that

$\forall x \in D, \exists y \in D, P(x,y)$ is true but $\exists y \in D, \forall x \in D, P(x,y)$ is false.

Let D={1,2,3}

Question 2:

Is it possible to find a predicate P(x,y) such that:

$\exists y \in D, \forall x \in D, P(x,y)$ is true but $\forall x \in D, \exists y \in D, P(x,y)$ is false

Let D={1,2,3}

Question 3:

Is there any method of finding a suitable predicate? or do i just have to guess my way through?

Last edited: