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For a conditional statement p → q write down its inverse, its converse and its contrapositive?

1 Answer

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Final answer:

The inverse of a conditional statement is formed by negating both the antecedent and the consequent. The converse of a conditional statement is formed by switching the positions of the antecedent and the consequent. The contrapositive of a conditional statement is formed by negating both the antecedent and the consequent, and then switching their positions.

Step-by-step explanation:

The inverse of a conditional statement p → q is formed by negating both the antecedent and the consequent. So, the inverse of p → q is ¬p → ¬q.

The converse of a conditional statement p → q is formed by switching the positions of the antecedent and the consequent. So, the converse of p → q is q → p.

The contrapositive of a conditional statement p → q is formed by negating both the antecedent and the consequent, and then switching their positions. So, the contrapositive of p → q is ¬q → ¬p.

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User Erik Noren
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