Which of the following is a disjunction of p and q?
Responses

A	p ∧ qp  ∧  q

B	p ⊕ qp  ⊕  q

C	p → qp → q

D	p ∨ q

The correct answer is **D: p ∨ q**.

A **disjunction** in logic refers to the logical **"or"** (denoted by **∨**). It is true if at least one of the propositions is true. So, in this case, **p ∨ q** represents the disjunction of **p** and **q**.

Here are explanations for the other options:

- **A: p ∧ q** is a conjunction (logical "and").
- **B: p ⊕ q** represents an exclusive or (XOR).
- **C: p → q** is an implication (if **p** then **q**).

Would you like more details or have any questions about disjunctions or logical operators?

Here are 5 related questions to expand on this:
1. What is the difference between conjunction and disjunction in logic?
2. How does the truth table for a disjunction (p ∨ q) look?
3. What is the meaning of exclusive or (XOR) in logic?
4. How does the truth table for p → q (implication) compare to that for p ∨ q (disjunction)?
5. Can a disjunction (p ∨ q) ever be false? When?

**Tip:** In propositional logic, a disjunction is true if at least one of the statements is true, but a conjunction is true only if both statements are true.

Which of the following is a disjunction of p and q?

Explore the concept of disjunction in propositional logic with the example p ∨ q. This question covers essential logical operators and compares them to conjunction, implication, and exclusive or (XOR). Suitable for high school students learning logic in Grades 9-12.

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