CK-12 Geometry Concepts

2.6. Truth Tables http://www.ck12.org

TABLE2.11:

p q r ∼q ∼q∨r

T T T F T

T T F F F

T F T T T

T F F T T

F T T F T

F T F F F

F F T T T

F F F T T

Finally, we can address the entire problem,p∧(∼q∨r). Use thepand∼q∨rto determine the values. Remember,
for “and” bothpand∼q∨rmust be true.

TABLE2.12:

p q r ∼q ∼q∨r p∧(∼q∨r)

T T T F T T

T T F F F F

T F T T T T

T F F T T T

F T T F T F

F T F F F F

F F T T T F

F F F T T F

Watch this video for help with the Examples above.

MEDIA

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CK-12 Foundation: Chapter2TruthTablesB

Vocabulary

Truth tablesuse symbols to analyze logic.

Guided Practice

Write a truth table for the following variables.

1.p∧∼p

2.∼p∨∼q

3.p∧(q∨∼q)

Answers: