January february march april may june july august september

Asked by admin @ 13/08/2021 in Math viewed by 430 People

Let S be the set {January, February, March, April, May, June, July, August, September, October, November, December} of months in a year. Consider the following three relations and answer sub-questions 12.a & 12.b:

Answered by admin @ 13/08/2021

Given : S be the set {January, February, March, April, May, June, July, August, September, October, November, December} of months in a year.

To find : R₁ , R₂ and R₃

Solution:

S = {January, February, March, April, May, June, July, August, September, October, November, December}

R₁ = { (January, February) , (September, November) , (September, December), (November ,December) }

R₂ = { (January, March) , (January, May) ,(January, July) ,(January, August) ,

(January, October ) , (January, December ) , (March, May) ,(March, July) ,(March, August), (March, October ) , (March, December ) , (May, July) ,(May, August), (May, October ) , (May, December ) , (July, August) (July, October ) , (July, December ) , (August, October ) , (August, December ) , (October , December ) , ( April , June) , (April September) , ( April November) , (June September) , (June , November) , (September , November) }

R₃ = {February, March) , (February, May) ,(February, July) ,(February, August) , (February, October ) , (February, December ) , (April , November), (June , November)(September , November) , (April , December), (June , December)(December , November) , (April, September), (June, September) (January , September) , (March , September) , (May , September) , (July , September) , (August , September) , (October , September) ,

(January , November) , (March , November) , (May , November) , (July , November) , (August , November) , (October , November) ,(April, December), (June, December) }

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January february march april may june july august september

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