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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
→If (R={(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}) on (A={1,2,3}), why is (R) symmetric but not reflexive?
Class 12 · Mathematics
→If (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}), which description fits (R) best?
Class 12 · Mathematics
→If (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}), which pair will be in (R^{-1}) but not in (R)?
Class 12 · Mathematics
→If (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}) on (A={1,2,3}), which pairs must be added to make it an equivalence relation?
Class 12 · Mathematics
→If the classes of (R) on (A={1,2,3,4}) are ({1,2}) and ({3,4}), which pair will not be in (R)?
Class 12 · Mathematics
→If (R={(1,1),(2,2),(1,2),(2,1),(3,3)}) on (A={1,2,3}), what are the equivalence classes formed by (R)?
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={1,2,3,4}), if (aRb) when (a+b=5), which statement about (R) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), if (aRb) when (|a-b|) is divisible by (2), what type of relation is (R)?
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),(4,4),(1,2),(2,4),(1,4)}) on (A={1,2,3,4}), what is the correct statement about (R)?
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 a relation is both symmetric and antisymmetric, what is correct for distinct elements (a\ne b)?
Class 12 · Mathematics
→If (R={(1,1),(2,2),(3,3),(1,2),(1,3)}) on (A={1,2,3}), is (R) antisymmetric?
Class 12 · Mathematics
→If (A) is non-empty and (R=\varnothing), which statement is false?
Class 12 · Mathematics
→If (R=A\times A) on (A={1,2,3}), which statement about (R) is false?
Class 12 · Mathematics
→If (R={(1,2),(2,4),(3,4)}), which pair must be in (R^{-1})?
Class 12 · Mathematics
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