The statement p ∧ q is true only if: a. Either p or g is true b. Both p and q are true c. p is true and q is false d. Both p and q are false

Understand the Problem

The question is asking about the logical statement p ∧ q and what conditions need to be met for it to be true. It is a multiple-choice question requiring an understanding of logical conjunction in propositional logic.

More Information

The logical conjunction (p ∧ q) is only true when both component statements p and q are true. This is fundamental in Boolean logic used in mathematics and computer science.

Tips

A common mistake is confusing conjunction (∧) with disjunction (∨). Remember, ∧ requires both to be true; ∨ requires at least one to be true.

Sources

• Statements and Logical Operators - math.libretexts.org