Truth Tables Worksheet
A Grade 9 Math worksheet covering the fundamentals of truth tables, logical connectives, and compound statements.
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Truth Tables Fundamentals
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Read each question carefully and follow the instructions to complete the truth tables and answer the questions.
1. A is a fundamental concept in logic that shows the truth value of a compound statement for all possible truth values of its simple statements.
2. The logical connective for 'and' is represented by the symbol .
3. The logical connective for 'or' is represented by the symbol .
4. The negation of a statement is represented by the symbol .
1. Complete the truth table for the conjunction (AND) of two statements P and Q.
P Q P ∧ Q
T T
T F
F T
F F
2. Complete the truth table for the disjunction (OR) of two statements P and Q.
P Q P ∨ Q
T T
T F
F T
F F
1. If P is True and Q is False, what is the truth value of P ∧ Q?
True
False
Cannot be determined
Both True and False
2. If P is False and Q is True, what is the truth value of P ∨ Q?
True
False
Cannot be determined
Both True and False
1. If statement P is 'The sky is blue', write the negation of P (~P).
2. Complete the truth table for the negation of statement P.
P ~P
T
F
1. Complete the truth table for the compound statement P ∧ (~Q).
P Q ~Q P ∧ (~Q)
T T
T F
F T
F F
2. Complete the truth table for the compound statement (~P) ∨ Q.
P Q ~P (~P) ∨ Q
T T
T F
F T
F F