Concept Byte: Logic and Truth Tables

Use With Lesson 2-2

ACTIVITY

A compound statement combines two or more statements.

A conjunction s ∧ j s and j  is true only when both s and j are true.

A disjunction s ∨ j s or j  is false only when both s and j are false.

Activity 1

For Exercises 1–4, use the statements below to construct the following compound statements.

• s: We will go to the beach.
• j: We will go out to dinner.
• t: We will go to the movies.

1. s ∧ j s and j
2. s ∨ j s or j
3. s ∨ ( j ∧ t ) s or open j and t close
4. ( s ∨ j ) ∧ t open s or j close and t
5. Write three of your own statements and label them s, j, and t. Repeat Exercises 1–4 using your own statements.

For Exercises 6–9, use the statements below to determine the truth value of the compound statement.

• x: Emperor penguins are black and white.
• y: Polar bears are a threatened species.
• z: Penguins wear tuxedos.

6. x ∧ y x and y
7. x ∨ y x or y
8. x ∧ z x and z
9. x ∨ z x or z

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