Which set of statements always have the same truth value

A) Conditional and Converse

B) Conditional and Inverse

C) Inverse and Contrapositive

D) Conditional and Contrapositive

Respuesta :

Your answer is D Conditional and Contrapositive because its not C because its not inverse has something to do with operations Its not B because again it has Inverse and Inverse has something to do with operations and when it came down to A, and D I choose D because A has converse and that's usually simplifying equations.                                                                                                                                                    Your answer is D.

The set of statements always have the same truth value will be Conditional and Contrapositive i.e. Option [tex](D)[/tex] .

What is Conditional and Contrapositive?

Conditional and Contrapositive : If the conditional statement is “If P then Q.” Then converse of the conditional statement is “If Q then P.” The contrapositive of the conditional statement is “If not Q then not P.” The inverse of the conditional statement is “If not P then not Q.”

So,

As per given options,

Option [tex](B)[/tex] and [tex](C)[/tex] have inverse, so they have nothing to do with inverse.

Now,

So, according to the above mentioned definition,

Option [tex](D)[/tex] Conditional and Contrapositive is the correct option.

Hence, we can say that the set of statements always have the same truth value will be Conditional and Contrapositive Option [tex](D)[/tex] .

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