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Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Why is it not an equivalence relation?
Class 12 · Mathematics
→If (R) is an equivalence relation and ((a,b)\in R), then which pair must belong to (R) due to the symmetric property?
Class 12 · Mathematics
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3)}) is given. What type of relation is it?
Class 12 · Mathematics
→For real numbers, (aRb) if (a\le b). Why is this not an equivalence relation?
Class 12 · Mathematics
→On (A={1,2,3}), why is (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) not an equivalence relation?
Class 12 · Mathematics
→On (A={1,2,3}), why is (R={(1,1),(2,2),(3,3),(1,2)}) not an equivalence relation?
Class 12 · Mathematics
→If ((a,b)\in R) always implies ((b,a)\in R), which property is this?
Class 12 · Mathematics
→Which three properties must a relation have to be an equivalence relation?
Class 12 · Mathematics
→If (R) is reflexive and symmetric, is it definitely transitive?
Class 12 · Mathematics
→If a relation is symmetric, must it always be transitive?
Class 12 · Mathematics
→If (R={(1,2),(2,1)}), it is symmetric but not transitive. Choose the reason.
Class 12 · Mathematics
→Which statement is false?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(1,1),(2,2)}). Is (R) transitive?
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
→If a relation is symmetric, will it always be transitive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,1),(2,4),(4,2),(3,3)}). Choose the correct statement about (R^{-1}).
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1)}) and (S={(2,3),(3,2)}). What is (R\cup S)?
Class 12 · Mathematics
→A relation (R) on a set (A) is symmetric and (S\subseteq R). Must (S) be symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a+2b=6}). What is correct about (R)?
Class 12 · Mathematics
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