University:
Texas Tech University
Course:
CS 1382 | Discrete Mathematics and Its Applications
Academic year:

2025
Views:

341

Pages:

22
Author:

Mia Isabella Troncoso

CS1382:Discrete Mathematics and Its Applications Instructor: Dr Mustafa Alam Problems Construct a truth table for (p ∧ q) → (p ∨ q) Problem 11 (Book) 11. Let p and q be the propositions "Swimming at the New Jersey shore is allowed" and "Sharks have been spotted near the shore," respectively. Express each of these compound propositions as an English sentence. a) ¬q b) p∧q c) ¬p∨q d) p→¬q e) ¬q→p f) ¬p→¬q g) p↔¬q h) ¬p∧(p∨¬q) h) Swimming at the New Jersey shore is not allowed and swimming is allowed or sharks have not been spotted near the shore. c) Either swimming at the New Jersey shore is not allowed or sharks have been spotted near the shore. d) If swimming at the New Jersey shore is allowed then sharks have not been spotted near the shore. Problem 11 (Book) a) Sharks have not been spotted near the shore b) Swimming is allowed and sharks have been spotted near the shore f) If swimming is not allowed in the New Jersey shore, then sharks have not been spotted near the shore. g) Swimming in the New Jersey shore is allowed if and only sharks have not been spotted near the shore.

Applications of Propositional Logic

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