Truth Tables Worksheet
A Grade 12 Math worksheet focusing on constructing and interpreting truth tables for logical propositions and compound statements.
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Truth Tables Worksheet
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Read each question carefully and follow the instructions to complete the truth tables and answer the questions.
1. A truth table is a mathematical table used in logic to compute the functional values of logical expressions on each of their functional arguments, that is, on each combination of values taken by their logical .
2. The symbol for logical conjunction (AND) is .
3. The symbol for logical disjunction (OR) is .
4. Construct a truth table for the proposition P ∧ Q.
5. Construct a truth table for the proposition P ∨ ¬Q.
6. Which of the following propositions is a tautology?
P ∧ ¬P
P ∨ ¬P
P → ¬P
¬(P ∨ Q)
7. A contradiction is a proposition that is always .
8. The propositions P → Q and ¬P ∨ Q are logically equivalent.
True
False
9. De Morgan's Law states that ¬(P ∧ Q) is logically equivalent to ¬P ∧ ¬Q.
True
False
10. Construct a truth table for the conditional statement (P ∧ Q) → R.