Question

The diagram represents two statements: p and q.



Which represents regions A, B, and C?

p ∨ q
p → q
q ∧ p
q → p

Answer 1

I don’t see the diagram — could you upload it or describe which regions are shaded/labeled A, B, C (left-only, overlap, right-only, outside)?

If A is the part inside p only (p and not q), B the overlap (p and q), and C the part inside q only (q and not p), then the formulas are:

- A = p ∧ ¬q
- B = p ∧ q (this matches “q ∧ p” in your list)
- C = q ∧ ¬p

Additional notes using the expressions you listed:
- p ∨ q = A ∪ B ∪ C (the whole union)
- p → q (¬p ∨ q) is true everywhere except A (i.e., it is the complement of A)
- q → p (¬q ∨ p) is true everywhere except C (i.e., it is the complement of C)

If your labels A, B, C mean something else in the diagram, tell me which region is which and I’ll map them exactly.