Truth Tables Worksheet

A Grade 11 Math worksheet covering truth tables for logical connectives and compound propositions.

Grade 11 Math Logic and ReasoningTruth Tables

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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9CCSS.MATH.CONTENT.HSG.CO.C.10

Topics

MathLogicTruth TablesGrade 11

7 sections · Free to use · Printable

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Truth Tables Exploration

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Read each question carefully and follow the instructions to complete the truth tables and answer the questions. Remember that 'T' represents True and 'F' represents False.

1. Complete the truth table for the negation (NOT) operator.

2. Complete the truth table for the conjunction (AND) operator.

P ∧ Q

3. Construct a complete truth table for the disjunction (OR) operator (P ∨ Q).

4. Construct a complete truth table for the implication operator (P → Q).

5. Which of the following truth tables correctly represents the compound proposition P ∧ (~Q)?

P: T, Q: T, P ∧ (~Q): F P: T, Q: F, P ∧ (~Q): T P: F, Q: T, P ∧ (~Q): F P: F, Q: F, P ∧ (~Q): F

P: T, Q: T, P ∧ (~Q): T P: T, Q: F, P ∧ (~Q): F P: F, Q: T, P ∧ (~Q): F P: F, Q: F, P ∧ (~Q): T

P: T, Q: T, P ∧ (~Q): F P: T, Q: F, P ∧ (~Q): T P: F, Q: T, P ∧ (~Q): T P: F, Q: F, P ∧ (~Q): F

P: T, Q: T, P ∧ (~Q): F P: T, Q: F, P ∧ (~Q): F P: F, Q: T, P ∧ (~Q): F P: F, Q: F, P ∧ (~Q): F

6. A proposition that is always true, regardless of the truth values of its components, is called a contradiction.

True

False

7. Prove that (P → Q) is logically equivalent to (~P ∨ Q) by constructing a truth table for both propositions.