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Class 12 · Mathematics

If (R) is transitive and ((5,6)\in R), ((6,8)\in R), which conclusion is correct?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2),(2,2),(2,3),(1,3)}). Is it transitive?

Class 12 · Mathematics

If a relation contains ((1,2)), ((2,3)), and ((3,4)), which pair will also be necessary for full transitivity?

Class 12 · Mathematics

In (R={(2,3),(3,4),(2,4),(4,4)}), what is the main transitivity check?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}). What is this relation?

Class 12 · Mathematics

Which relation is definitely transitive?

Class 12 · Mathematics

If ((a,b)\in R) and ((b,a)\in R), which pair is necessary for transitivity?

Class 12 · Mathematics

If a relation (R) contains ((3,5)) and ((5,7)), which pair is needed for transitivity?

Class 12 · Mathematics

On (A={1,2,4}), (R={(1,2),(2,4),(1,1),(2,2),(4,4)}). Which pair should be added to make transitivity complete?

Class 12 · Mathematics

On (A={1,2,4}), (R={(1,1),(2,2),(4,4),(1,2),(2,4),(1,4)}). Is (R) transitive?

Class 12 · Mathematics

On integers, (aRb) means (a\mid b). Why is this relation transitive?

Class 12 · Mathematics

On integers, (aRb) means (a=b). Is it transitive?

Class 12 · Mathematics

For a family of sets, (ARB) means (A\subseteq B). What is the relation?

Class 12 · Mathematics

On integers, (aRb) means (a<b). Is this relation transitive?

Class 12 · Mathematics

On natural numbers, (aRb) means (a\le b). What kind of relation is it?

Class 12 · Mathematics

Why is the relation (R={(1,2),(2,1)}) not transitive?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). Is (R) transitive?

Class 12 · Mathematics

Which statement is true about the identity relation (I={(a,a):a\in A})?

Class 12 · Mathematics

What is the universal relation (R=A\times A) on a set (A)?

Class 12 · Mathematics

What is the nature of the empty relation (R=\varnothing) on a non-empty set (A)?