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Write the converse, inverse, and contrapositive of the following statement. If he studies, then he will go to college. - Mathematics and Statistics

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प्रश्न

Write the converse, inverse, and contrapositive of the following statement.

If he studies, then he will go to college.

योग
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उत्तर

Let p: He studies.

q: He will go to college.

∴ The given statement is p → q.

Its converse is q → p.

If he will go to college then he studies.

Its inverse is ~ p → ~ q.

If he does not study then he will not go to college.

Its contrapositive is ~ q → ~ p.

If he will not go to college then he does not study.

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अध्याय 1: Mathematical Logic - Exercise 1.8 [पृष्ठ २१]
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