Respuesta :

Answer:

The area represented by p v q or p ∪ q.

Step-by-step explanation:

The diagram represents two statements: p and q.

Here,

A represents the region in which only p is true.

B represents the region in which both p and q are true.

C represents the region in which only q is true.

The combine region of A, B, and C represents the region in which either p is true or q is true.

Therefore the region of A, B, and C is the union of p and q. It can be represented as p v q or p ∪ q.

facundo3141592

We can define each of the regions as:

  • B = p ∩ q
  • A = p - p ∩ q
  • C = q -  p ∩ q

How to interpret the diagram?

On the diagram we can see that the intersection between p and q is region B, so first we can write:

B = p ∩ q

Now, how to define A and C?

For example, you can see that A is the region of p that is not B, then we can just write:

A = p - p ∩ q

Similarly, for C, we can write:

C = q -  p ∩ q

If you want to learn more about sets, you can read:

https://brainly.com/question/2166579

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