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Class 12 · Mathematics
→On the set (A={1,2,3}), the universal relation (R=A\times A) is given. What can be said about it?
Class 12 · Mathematics
→On the set (A={1,2}), the empty relation (R={}) is given. Is it transitive?
Class 12 · Mathematics
→Which is the correct condition for a relation to be transitive?
Class 12 · Mathematics
→If (R={(1,2),(2,3)}), why is (R) not transitive?
Class 12 · Mathematics
→If (R={(1,2),(2,3),(1,3)}), choose the correct statement about (R).
Class 12 · Mathematics
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3)}) is given. Is (R) transitive?
Class 12 · Mathematics
→What is the best way to prove that a relation is not transitive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(2,2),(2,3),(3,4),(2,4)}). Is (R) transitive?
Class 12 · Mathematics
→If (R) is transitive and ((5,5) \in R), ((5,8) \in R), which pair is obtained by transitivity?
Class 12 · Mathematics
→On (A={1,2,3}), which pair must be added to make (R={(1,3),(3,2)}) transitive?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,3),(3,2),(1,2)}). Is (R) transitive or not?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a\text{ and }b\text{ have the same remainder modulo }2}). Is (R) transitive?
Class 12 · Mathematics
→On real numbers, (R={(a,b):|a|=|b|}). Is (R) transitive?
Class 12 · Mathematics
→A relation (R) is transitive on a set. If ((a,b) \in R) and no pair of the form ((b,c)) is in (R), is any new ((a,c)) pair forced only from ((a,b))?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(2,4)}) is not transitive. Which pair is missing?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(1,1),(2,2)}). Is (R) transitive or not?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(2,4),(1,4)}). Which required pair must also be checked for transitivity?
Class 12 · Mathematics
→If (R) and (S) are both transitive relations, what is correct about (R\cap S)?
Class 12 · Mathematics
→If (R) and (S) are both transitive relations, is (R\cup S) always transitive?
Class 12 · Mathematics
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