Mathematics
Transitive relation
Practice questions
On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4)}). (R) is not transitive because which pair is missing?If (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}), what type of relation is (R)?In which situation is a counterexample enough to disprove transitivity of a relation?If a relation contains only one pair ((2,3)), is it transitive or not?On (A={1,2,3}), (R={(1,2),(3,1)}). Is (R) transitive?If (R={(1,2),(3,1),(3,2)}), what is the correct statement about (R)?Choose the correct option for (R={(a,b):a,b \in \mathbb{R}\text{ and }a\ge b}).If (R={(a,b):a,b \in \mathbb{R}\text{ and }a>b}), what type of relation is (R)?If a relation (R) contains ((1,2)), ((2,1)), ((1,1)), and ((2,2)), which pair is required because of ((1,2)) and ((2,1))?Which option is a correct example of a transitive relation?If (R={(1,1),(1,2),(2,3),(1,3),(3,3)}), is (R) transitive?On (A={1,2,3}), (R={(1,2),(2,3),(3,3)}). Which conclusion is correct?If (R) is transitive and ((a,b)\in R), ((b,c)\in R), ((c,d)\in R), which conclusion is definite?If (R) is reflexive and symmetric, is it definitely transitive?If a relation has only the pair ((5,5)), is it transitive or not?On (A={1,2,3}), (R={(1,1),(1,2),(2,1),(2,2),(2,3),(1,3)}). Is (R) transitive?In a relation like the previous type, what should be the conclusion if all required pairs are present?If (R={(1,2),(2,1),(1,1)}), which minimum pair must be added to make it transitive?If (R) is transitive and ((1,2)\in R), ((2,4)\in R), ((4,8)\in R), which pair must definitely be in (R)?What is the best method to check a transitive relation in a medium-level exam question?