Practice Duals Of Logically Equivalent Statements (6.8.4)

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6 sample questions

Question 1.
What is the negation of p?
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Think about the opposite of the statement represented by p.
Question 2.
What does p → q mean?
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It's an implication, so consider the relationship between p and q.
3Question 3.
What is the negation of p → q?
- ¬p → q
- p → ¬q
- ¬(p → q)
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Consider how negation affects the entire statement.
4Question 4.
True or False: The contrapositive of p → q is q → p.
- True
- False
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Remember what contrapositive entails.
Question 5.
Prove that if p → q and q → r are true, then p → r is also true.
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Consider the chain of implications between p, q, and r.
Question 6.
If the dual of a compound statement is identical to its original, what can you infer?
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Think about which types of statements maintain structure and cannot be altered.

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