Write the converse, inverse, and contrapositive of the following statements- If today is Sunday, then it is a holiday. If 5x – 1 = 9, then x = 2. If it rains, then I will stay at home.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section: Chapter Questions
Problem 12RP
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Write the converse, inverse, and contrapositive of the following statements-

  1. If today is Sunday, then it is a holiday.
  2. If 5x – 1 = 9, then x = 2.
  3. If it rains, then I will stay at home.
  4. I will dance only if you sing.
  5. I will go if he stays.
  6. We leave whenever he comes.
  7. You will qualify for GATE only if you work hard.
  8. If you are intelligent, then you will pass the exam.
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