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Class 12 · Mathematics

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

Class 12 · Mathematics

If (R={(1,2),(2,3),(3,4),(1,3),(2,4)}), which minimum pair must be added to make it transitive?

Class 12 · Mathematics

If (A={1,2,3,4}) and (R={(1,2),(2,3),(3,4)}), how many pairs will be in the transitive closure of (R)?

Class 12 · Mathematics

If (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(3,4),(1,3),(2,4)}) on (A={1,2,3,4}), why is (R) not a partial order relation?

Class 12 · Mathematics

If (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}) on (A={1,2,3,4}), what type of relation is (R)?

Class 12 · Mathematics

If (R) is reflexive and transitive, what decides whether (R) is symmetric?

Class 12 · Mathematics

If (R) on (A={1,2,3}) is reflexive and symmetric and ((1,2),(2,3)\in R), which pair is necessary to make (R) an equivalence relation?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (R={(1,2),(2,3),(1,3)}) on (A={1,2,3}), is (R) transitive?

Class 12 · Mathematics

On (A={1,2,3,4}), if (aRb) when (a+b=5), why is (R) not transitive?

Class 12 · Mathematics

On (A={1,2,3}), relation (R) is defined by (aRb) if (|a-b|\le1). Which property is absent?

Class 12 · Mathematics

If (R={(1,1),(2,2),(3,3),(1,2),(2,3)}) on (A={1,2,3}), why is (R) not a partial order relation?

Class 12 · Mathematics

If (R={(1,2),(2,3),(3,4)}), which additional pairs must appear in the transitive closure?

Class 12 · Mathematics

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

Class 12 · Mathematics

On real numbers, (aRb) iff (a-b>0). What type of relation is it?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (R) and (S) are transitive relations on (A), which statement about (R\cup S) is correct?

Class 12 · Mathematics

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

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):a-b) is odd(}). What type of relation is it?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,3),(1,3)}). Which property does this relation satisfy?