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Chapter: Mathematical Logic· Mathematics & Statistics (Commerce) Part 1

Write converse, inverse and contrapositive of the following statement :If the train reaches on time then I can catch the connecting flight.

Q.2 (A)(i) Write converse, inverse and contrapositive of the following statement :

If the train reaches on time then I can catch the connecting flight.

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Answer:

Let \(p\): The train reaches on time; \(q\): I can catch the connecting flight. The given statement is \(p \rightarrow q\).

  • Converse \((q \rightarrow p)\): If I can catch the connecting flight then the train reaches on time.
  • Inverse \((\sim p \rightarrow \sim q)\): If the train does not reach on time then I cannot catch the connecting flight.
  • Contrapositive \((\sim q \rightarrow \sim p)\): If I cannot catch the connecting flight then the train does not reach on time.
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