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Class 12 · Mathematics · Expert
→In the divisibility relation on (A={2,3,4,6,12}), what is the least upper bound of (2) and (3)?
Class 12 · Mathematics · Expert
→In the divisibility relation on (A={2,3,6,12}), which is the greatest element?
Class 12 · Mathematics · Expert
→In (R={(a,b):a\le b}) on (A={1,2,3,4}), which is the least element?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(a,b):a\mid b}). Why is this relation a partial order?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What is (R^{-1})?
Class 12 · Mathematics · Expert
→If a relation (R) is transitive, which statement about (R^{-1}) is correct?
Class 12 · Mathematics · Expert
→If (R) is an equivalence relation, which statement about (R^{-1}) is correct?
Class 12 · Mathematics · Expert
→If (R) is a reflexive relation, which statement about (R^{-1}) is correct?
Class 12 · Mathematics · Expert
→If (R) is a relation on a set (A), when will (R^{-1}) be symmetric?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) and (S={(1,1),(2,2),(3,3),(2,3),(3,2)}). Why is (R\cup S) not an equivalence relation?
Class 12 · Mathematics · Expert
→Is the union of two equivalence relations always an equivalence relation?
Class 12 · Mathematics · Expert
→If (R) and (S) are equivalence relations on (A), which statement about (R\cap S) is correct?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(3,4)})?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), starting from (R={(1,2),(2,3)}), how many pairs will the smallest relation containing (R) and being reflexive, symmetric and transitive have?
Class 12 · Mathematics · Expert
→For (R={(1,2),(2,3),(3,4)}) on (A={1,2,3,4}), how many minimum pairs must be added to form the transitive closure?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Which minimum pair must be added for transitivity?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(3,3)}). Which property does this relation satisfy?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What type of relation is it?
Class 12 · Mathematics · Expert
→For a non-empty set (A), which statement about the empty relation is correct?
Class 12 · Mathematics · Expert
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