Consider the following expression: I. A⋀B II. A⋁B III.~A⋀B IV. TRUE V. FALSE…

Consider the following expression:

I. A⋀B

II. A⋁B

III.~A⋀B

IV. TRUE

V. FALSE

The number of expression(s) above that are logically implied by (A⋀B)⋀(~A→~B) is

Answer: C. 3(c) (A⋀B)⋀(~A→~B) AB⋀A+B'=A⋀B A⋀B→(A⋀B)≡TRUE A⋀B→(A⋁B)≡TRUE A⋀B→TRUE≡TRUE

  1. A.

    1

  2. B.

    2

  3. C.

    3

  4. D.

    4

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Correct answer: C

(c)

(A⋀B)⋀(~A→~B)

AB⋀A+B'=A⋀B

A⋀B→(A⋀B)≡TRUE

A⋀B→(A⋁B)≡TRUE

A⋀B→TRUE≡TRUE

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