Page 177 - Math Course 2 (Book 2)

Truth Tables and Logic

Construct Truth Tables

Which sequence of Ts and Fs would correctly complete A. T B. T C. T D. T
the last column of the following truth table for the given
compound statement?(p ⋁ q) ⋀ (q ⋁ r) T T F T

T T T T
p q r p ⋀ q p ⋀ r (p ⋁ q) ⋀ (q ⋁ r)
T T T T T F T F F
T F T F F T T T T
T T F T F
T F F F F F T F T
F T T F T T T F T
F F T F F
F T F F F F F F F
F F F F F
Answer

Skill Practice!

Use the following statements to write a compound statement for each conjunction and disjunction.
Then find its truth value.
p: –3 – 2 = –5
q: Vertical angles are congruent.
r: 2 + 8 > 10
s: The sum of the measures of complementary angles is 90°.

1. p and q 2. p ⋀ r

3. p or s 4. r ⋁ s

5. p ⋀ ~ q 6. q ⋁ ~r

Copy and complete each truth table.

7. 8.

Construct a truth table for each compound statement.

9. ~q ⋀ r 10. ~p ⋁ ~r

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