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Back to 2.4 Truth Tables for the Conditional and Biconditional

2.4 Exercise 5

Avg difficulty 2.5

Assume both of the following statements are true: pp: The plumber fixed the leak, and qq: The homeowner paid the plumber $150.00. Create a truth table to determine the truth value of each of the following biconditional statements.

  1. p↔qp \leftrightarrow q
  2. p↔ ~qp \leftrightarrow \text{ } \sim q
  3. ~p↔ ~q\sim p \leftrightarrow \text{ } \sim q

OpenStax Contemporary Mathematics, 2.4 Truth Tables for the Conditional and Biconditional, exercise 5

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