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4 cards from this section. Quick, good the night before a test.
What is a direct proof?
Consider its definition in the context of implications.
Provide an example of a universally quantified statement.
Think about properties of even and odd numbers.
What does a direct proof do?
Think about how direct proofs relate to implications.
Is proof by contrapositive valid for proving implications?
Recall the connection between a statement and its contrapositive.
Given the statement 'If n is a multiple of 4, then n² is a multiple of 16', prove it using a direct proof.
Start by expressing n in terms of k.
Prove 'if the product of two integers is odd, then both integers must be odd' using proof by contrapositive.
Identify how even and odd integers interact when multiplied.
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