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Back to 2.4 Truth Tables for the Conditional and Biconditional

2.4 Exercise 7

Avg difficulty 2.5

Construct a truth table to analyze all possible outcomes for each of the following statements, then determine whether they are valid.

  1. p∧q↔p∧~qp \land q \leftrightarrow p \land \sim q
  2. p∨q↔~p∨qp \lor q \leftrightarrow \sim p \lor q
  3. p→q↔~q→~pp \rightarrow q \leftrightarrow \sim q \rightarrow \sim p
  4. p∧q→~r↔p∧q∧rp \land q \rightarrow \sim r \leftrightarrow p \land q \land r

OpenStax Contemporary Mathematics, 2.4 Truth Tables for the Conditional and Biconditional, exercise 7

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Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.