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2 cards from this section. Quick, good the night before a test.
What is the logical form of 'if it rains, the ground will be wet'?
Identify the main components of the statement.
What does p → q mean?
Think about how you would express a cause-and-effect relationship.
Which of the following represents an implication?
Look for the statement indicating a conditional relationship.
True or False: The contrapositive of p → q is p → ¬q.
Recall what 'contrapositive' means.
Prove that (p ∧ q) → r is logically equivalent to ¬p ∨ ¬q ∨ r using a truth table.
Focus on every combination of truth values for p, q, and r.
Demonstrate the non-equivalence of (p → q) and (q → p) and justify your answer.
Consider scenarios that reveal their truth values.
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