Let A = { − 2 , − 1 , 0 , 1 , 2 , 3 } . let R be a relation on A defined by x R y if and only if y = max { x , 1 } . Let l be the number of elements in R. Let m and n be the minimum number of elements

Question

Let A = { − 2 , − 1 , 0 , 1 , 2 , 3 } . let R be a relation on A defined by x R y if and only if y = max { x , 1 } . Let l be the number of elements in R. Let m and n be the minimum number of elements required to be added in R to make it reflexive and symmetric relations, respectively. Then l + m + n is equal to

TestHub · Accepted Answer

​ A = { − 2 , − 1 , 0 , 1 , 2 , 3 } R = {( − 2 , 1 ) , ( − 1 , 1 ) , ( 0 , 1 ) , ( 1 , 1 ) , ( 2 , 2 ) , ( 3 , 3 )} ℓ = 6 m = 3 n = 3 ℓ + m + n = 12 ​

Mathematics - Sets and Relations Question with Solution | TestHub

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