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Write the contrapositive of the implication: “If Sanjay studies, then he will go to college.” - Mathematics and Statistics

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Question

Write the contrapositive of the implication: 

“If Sanjay studies, then he will go to college.”

Sum
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Solution

Let p: Sanjay studies.

q: He will go to college.

∴ The given statement is p → q.

Its contrapositive is ∼q → ∼p.

i.e., If Sanjay will not go to college, then he does not study.

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