Mathematics
Transitive relation
Practice questions
If (R={(3,3),(3,4),(4,4)}), what type of relation is (R)?A relation (R) contains ((5,7)) and ((7,9)). If (R) is transitive, which pair must definitely be present?If ((a,b)\in R) and ((b,c)\in R), but ((a,c)\notin R), what can be said about (R)?On (A={1,2,3}), the relation (R={(1,2),(2,3),(1,3),(3,3)}) is given. Is (R) transitive?Which relation can be immediately identified as transitive?If (R={(1,2),(2,2),(2,3),(1,3)}), what is the correct answer for (R)?If (R={(1,3),(3,2)}), (R) is not transitive because which pair is missing?What is the most important thing while checking transitivity?If (R={(2,5)}) has only one pair and no chain is formed, how is (R) treated?On (A={1,2,3}), (R={(1,2),(2,1),(1,1),(2,2)}). Is (R) transitive?If (R={(1,2),(2,1),(1,1)}), why is it not transitive?The relation (R={(1,2),(2,4),(1,4),(4,4)}) is given. What is the main reason to consider it transitive?If (R) is transitive and ((a,b)\in R), ((b,d)\in R), which statement is correct?On (A={1,2,3}), (R={(1,1),(1,2),(2,3),(1,3)}) is given. Is it transitive?If (R={(1,2),(2,3),(3,4),(1,3),(2,4)}), (R) is not transitive because which required pair is missing?Which option is a simple example of a non-transitive relation?If (R) has no two pairs that form a chain, what can be said about transitivity?If (R={(2,3),(3,5),(2,5),(5,5)}), choose the correct statement.If (R={(2,3),(3,5),(5,6),(2,5),(3,6)}), which additional pair is needed for transitivity?On (A={1,2,3}), the relation (R={(1,2),(2,2)}) is given. Is (R) transitive?