Compound Statements

What is a statement or proposition?

• A sentence that is always true

• A sentence with a definite truth value

• A sentence that can be both true and false

• A sentence that is always false

What is a compound statement?

• A combination of two or more statements joined by connectors

• A statement that is always true

• A single statement with no connectors

• A statement that is always false

How is the truth value of a conjunction compound statement determined?

• It is always false

• It is true only if both component statements are true

• It is false if both component statements are true

• It is true if at least one component statement is true

Which of the following is an example of a conjunction compound statement?

• "Violets are blue"

• "Roses are red"

• "Roses are red" and "Violets are blue"

• "Roses are red" or "Violets are blue"

What is the truth value of a disjunction compound statement if both component statements are false?

• True if the second statement is true

• True

• False

• True if the first statement is true

What is an exclusive disjunction?

• A statement where exactly one of the alternatives occurs

• A statement where neither alternative can occur

• A statement that is always true

• A statement where both alternatives can occur

In an inclusive disjunction, when is the statement true?

• When both alternatives do not occur

• Only when both alternatives occur

• When at least one of the alternatives occurs

• Only when neither alternative occurs