Question

Consider the sentence: "If it is rainy today, then we will stay at home." (a) Find...

Consider the sentence: "If it is rainy today, then we will stay at home."

(a) Find the converse of the original sentence.

(b) Find the contrapositive of the original sentence.

(c) Find the inverse of the original sentence.

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Answer #1

a) The converse of a sentence can be obtained by interchanging the hypothesis and the conclusion. Hence, the required sentence is

If we stay at home, then it is rainy today.

b) The contrapositive of a sentence is achieved by interchanging the hypothesis and the conclusion and negating both. Hence, the required sentence

If we do not stay at home, then it is not raining today

c) The inverse of a sentence is achieved by negating both hypothesis and the conclusion. Hence,

If it is not rainy today, then we will not stay at home.

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