MATH 1100 Kutztown University of Pennsylvania Tautology Truth Table

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Written HW 2 (Logic 2.5-2.7)
You must show all work to receive any credit. Practice examples in these sections from the textbook
before attempting these problems. There are videos on canvas for each week as well.
1. Create a truth table and check whether the statement is a tautology or contradiction
(𝑝 ∧ ~𝑞) ↔ ~(~𝑝 ∨ 𝑞)
(Refer to pages 92 and 93 in the textbook and videos on canvas for similar examples)
2. Show that (𝑝 ∨ 𝑞) ≡ ~(~𝑝 ∧ ~𝑞) by using one of De Morgan’s Laws and the property that
~(~𝒂) = 𝒂
(Hint: Do not create truth tables)
3. Consider the conditional 𝑝 → 𝑞. Show that the contrapositive of the contrapositive is the
original conditional statement 𝑝 → 𝑞.
(Refer to Note 8 in Exercise 2.7 Page 96 )
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< Written HW Week 2 Sp 2022 Logic.docx Written HW 2 (Logic 2.5-2.7) You must show all work to receive any credit. Practice examples in these sections from the textbook before attempting these problems. There are videos on canvas for each week as well. 1. Create a truth table and check whether the statement is a tautology or contradiction (Refer to pages 92 and 93 in the textbook and videos on canvas for similar examples) 2. Show that by using one of De Morgan's Laws and the property that (Hint: Do not create truth tables) 3. Consider the conditional Show that the contrapositive of the contrapositive is the original conditional statement . Converse, Inverse, and Contrapositive Conditional Statement P9 If p, then Converse If q. then p If not p. then not Inverse "P" Contrapositive If not, then not p (Refer to Note 8 in Exercise 2.7 Page 96 ) 10 6 Dashboard Calendar To Do Notifications Inbox Purchase answer to see full attachment Explanation & Answer: 1 Page Tags: tautology contradiction De Morgans Laws User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.