Math

QuestionWrite the contrapositive of: If it is Thursday afternoon, then I am at school.

Studdy Solution

STEP 1

Assumptions1. The given statement is "If it is Thursday afternoon, then I am at school." . The contrapositive of a statement is formed by negating both the hypothesis and the conclusion, and then swapping them.

STEP 2

Identify the hypothesis and the conclusion in the given statement. In the statement "If it is Thursday afternoon, then I am at school", the hypothesis is "it is Thursday afternoon" and the conclusion is " am at school".

STEP 3

Negate both the hypothesis and the conclusion. The negation of "it is Thursday afternoon" is "it is not Thursday afternoon". The negation of " am at school" is " am not at school".

STEP 4

Swap the negated hypothesis and conclusion to form the contrapositive. The contrapositive of the given statement is "If I am not at school, then it is not Thursday afternoon".
The contrapositive of the statement "If it is Thursday afternoon, then I am at school" is "If I am not at school, then it is not Thursday afternoon".

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