Which of the following statements is false when A is true and B is false?

Instructions: Choose the correct answer.

If the statement “~X ⊃ Y” is false, which of the following do you know to be true?

X must be false.

Y must be true.

X could be true or false.

Y could be true or false.
Which of the following statements is false when A is true and B is false?
A ⊃ (~B ⊃ ~A)

A ⊃ (~B ⊃ A)

~A ⊃ (B ⊃ ~A)

~A ⊃ (~B ⊃ ~A)

The logic symbol ⊃ is used to form which kind of relation?
Material implication

Material equivalence

Logical implication

Logical equivalence

In the statement (A ⊃ B) ⊃ (B ⊃ A), which of the following is the antecedent?

A

A ⊃ B

B

B ⊃ A

Which of the following represents a compound statement?

Jane is Sarah’s mother.

Brian and Rob are friends.

Chris is a teacher or a writer.

Holly is good at many sports.

QUESTION 6

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