Mathematics
Transitive relation
Practice questions
On (A={1,2,3}), the relation (R={(1,1),(2,1)}) is given. Is (R) transitive?If a relation (R) contains ((1,2)), ((2,3)), and ((3,1)), which pair is definitely required for transitivity?If (R={(1,2),(2,3),(3,1),(1,3),(2,1),(3,2),(1,1),(2,2),(3,3)}), what type of relation is it?If (R={(1,2),(2,4),(1,4),(4,1)}), why may transitivity fail?A relation (R) contains ((x,y)) and ((y,z)). Which pair is required by transitivity?If (R={(1,1),(1,2),(2,1),(2,2),(2,3),(1,3)}), why is it not transitive?Which statement is false?If (R={(1,2),(2,1)}), it is symmetric but not transitive. Choose the reason.If (R={(1,3),(3,3),(3,5),(1,5)}), which option is correct about (R)?If (R={(1,3),(3,3),(3,5)}), why is it not transitive?In the relation (R={(a,a),(a,b),(b,b),(b,c),(a,c)}), which fact supports transitivity?If a relation contains ((4,4)) and ((4,7)), which pair is required for transitivity?If (R={(4,4),(4,7),(7,4)}), why is (R) not transitive?In which option is transitivity checked correctly?If (R={(1,2),(2,3),(1,3),(3,3),(2,2)}), what type of relation is it?If (R={(1,2),(2,3),(1,3),(3,2)}), (R) is not transitive because which pair is missing?If (R) is transitive and ((p,q)\in R), ((q,r)\in R), ((r,s)\in R), which pair is obtained in the first step by transitivity?If (R) is transitive and ((p,r)\in R), ((r,s)\in R), which pair must also be present?If (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}), what is the correct statement about (R)?What is the best exam method for a question on transitive relation?