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Class 12 · Mathematics

A relation on a set that is reflexive, symmetric and transitive is called what?

Class 12 · Mathematics

On A={1,2,3}, what is the smallest addition to R={(1,2),(2,3)} that makes R transitive?

Class 12 · Mathematics

Which property is mainly shown in (R={(1,2),(2,3),(1,3)})?

Class 12 · Mathematics

On (A={1,2,3}), which pair must be added to make (R={(1,2),(2,3)}) transitive?

Class 12 · Mathematics

On natural numbers, (aRb) iff (a<b). Which property does it have?

Class 12 · Mathematics

Why is (R={(1,2),(2,1)}) not transitive on (A={1,2})?

Class 12 · Mathematics

On (A={1,2}), which two properties does (R={(1,1),(2,2),(1,2)}) have?

Class 12 · Mathematics

Which other property does the empty relation have on a non-empty set?

Class 12 · Mathematics

If a relation is reflexive and transitive but not antisymmetric, is it a partial order relation?

Class 12 · Mathematics

If a relation is reflexive and symmetric but not transitive, is it an equivalence relation?

Class 12 · Mathematics

Why is (R={(1,2),(2,3),(3,1)}) not transitive on (A={1,2,3})?

Class 12 · Mathematics

On (A={1,2,3,4}), which property does (R={(1,2),(2,4),(1,4)}) have?

Class 12 · Mathematics

If (R) is transitive and ((3,4)\in R), ((4,6)\in R), which pair is necessary?

Class 12 · Mathematics

On (A={1,2,3}), which property is clearly visible in (R={(1,2),(2,3),(1,3),(2,2)})?

Class 12 · Mathematics

If a relation is reflexive, antisymmetric and transitive, what is it called?

Class 12 · Mathematics

If a relation is reflexive and transitive, is it always an equivalence relation?

Class 12 · Mathematics

Which properties does the empty relation have on a non-empty set?

Class 12 · Mathematics

Why is the universal relation always transitive?

Class 12 · Mathematics

Which relation is reflexive, symmetric and transitive on every set?

Class 12 · Mathematics

Why is (R={(1,2),(2,3),(3,4)}) not transitive on (A={1,2,3,4})?