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1. Construct a truth table for (p A~q) V (~p V q). Use the truth table that you constructed in part a to determine the truth value of (p A~q) V (~~p v q), given that p is true and q is false. 2. Construct a truth table for (~p Ar) V (q^~r). Use the truth table that you constructed in part a to determine the truth value of (~p Ar) V (q ^~r), given that p is false, q is true, and r is false. 3. Construct a truth table for ~p v (p A q).

1. Construct a truth table for (p A~q) V (~p V q). Use the truth table that you constructed in part a to determine the truth value of (p A~q) V (~~p v q), given that p is true and q is false. 2. Construct a truth table for (~p Ar) V (q^~r). Use the truth table that you constructed in part a to determine the truth value of (~p Ar) V (q ^~r), given that p is false, q is true, and r is false. 3. Construct a truth table for ~p v (p A q).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Certainly! Here is the transcription of the image content for an educational website: --- **Learning Module for College: Mathematics in the Modern World – Activity 8** **Name:** _______________________ **Course:** _____________________ **Subject:** _____________________ **Date Submitted:** _____________ 1. **Construct a truth table for (p ∧ ¬q) ∨ (¬p ∨ q).** Use the truth table that you constructed in part a to determine the truth value of (p ∧ ¬q) ∨ (¬p ∨ q), given that p is true and q is false. 2. **Construct a truth table for (¬p ∧ r) ∨ (q ∧ ¬r).** Use the truth table that you constructed in part a to determine the truth value of (¬p ∧ r) ∨ (q ∧ ¬r), given that p is false, q is true, and r is false. 3. **Construct a truth table for ¬p ∨ (p ∧ q).** Prepared by: Joan Jett R. Osorio [Page 1] --- There are no graphs or diagrams in the image.
Transcribed Image Text:Certainly! Here is the transcription of the image content for an educational website: --- **Learning Module for College: Mathematics in the Modern World – Activity 8** **Name:** _______________________ **Course:** _____________________ **Subject:** _____________________ **Date Submitted:** _____________ 1. **Construct a truth table for (p ∧ ¬q) ∨ (¬p ∨ q).** Use the truth table that you constructed in part a to determine the truth value of (p ∧ ¬q) ∨ (¬p ∨ q), given that p is true and q is false. 2. **Construct a truth table for (¬p ∧ r) ∨ (q ∧ ¬r).** Use the truth table that you constructed in part a to determine the truth value of (¬p ∧ r) ∨ (q ∧ ¬r), given that p is false, q is true, and r is false. 3. **Construct a truth table for ¬p ∨ (p ∧ q).** Prepared by: Joan Jett R. Osorio [Page 1] --- There are no graphs or diagrams in the image.
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