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Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}). What type of relation is it?
Class 12 · Mathematics
→While identifying types of relations, which checking order is useful?
Class 12 · Mathematics
→Which relation is not a partial order but is an equivalence relation?
Class 12 · Mathematics
→Which relation is not an equivalence relation but is a partial order relation?
Class 12 · Mathematics
→Why is (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(1,3)}) on (A={1,2,3}) not a partial order?
Class 12 · Mathematics
→On (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) a partial order relation?
Class 12 · Mathematics
→On (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(2,3)}) transitive?
Class 12 · Mathematics
→If a relation is both symmetric and antisymmetric, what is true about unequal elements?
Class 12 · Mathematics
→Which relation can be both symmetric and antisymmetric?
Class 12 · Mathematics
→If (A) is the empty set, what can be said about the empty relation on (A)?
Class 12 · Mathematics
→Which statement about the empty relation on a set is correct?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(1,1),(2,2)}). It is symmetric and transitive, but why is it not reflexive?
Class 12 · Mathematics
→If (R) is symmetric and transitive, must (R) be reflexive?
Class 12 · Mathematics
→If (R) is reflexive and transitive, must (R) be an equivalence relation?
Class 12 · Mathematics
→If (R) is reflexive and symmetric, must (R) be an equivalence relation?
Class 12 · Mathematics
→If (R) is transitive and ((1,2),(2,1)\in R), which pairs must be present?
Class 12 · Mathematics
→If (R) is symmetric and ((1,2),(2,3)\in R), must ((1,3)\in R)?
Class 12 · Mathematics
→If (A) has (n) elements, what is the number of relations that are both reflexive and symmetric?
Class 12 · Mathematics
→For a four-element set A, how many relations are symmetric but not reflexive?
Class 12 · Mathematics
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