The diagram represents two statements: p and q.
Which represents regions A, B, and C?

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.
We can define each of the regions as:
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:
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