Mathematics
Transitive relation
Practice questions
On A={1,2,3,4}, let R={(1,2),(2,4),(1,4),(3,3)}. Is R transitive?On (A={1,2,3,4}), (R={(1,2),(2,4),(3,3)}) is given. Which minimum pair must be added to make the relation transitive?On (A={1,2,3}), what is the nature of the empty relation (R=\varnothing)?On (A={1,2,3}), choose the correct statement about the universal relation (R=A \times A).On (A={1,2,3}), what is the nature of the identity relation (I={(1,1),(2,2),(3,3)})?If relation (R) is transitive and ((4,7) \in R), ((7,9) \in R), which pair must be in (R)?If (R) is transitive and ((2,5) \in R), ((5,8) \in R), ((8,10) \in R), which of the following pairs must be in (R)?On (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}). Is (R) transitive?On (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4)}). Why is it not transitive?On A={1,2,3}, let R={(1,2),(2,1),(1,1),(2,2)}. Is R transitive?On (A={1,2,3}), (R={(1,2),(2,1)}). (R) is not transitive because which pairs are required?On real numbers, (aRb) if (a=b). What is this relation?On real numbers, (aRb) if (a \ne b). Is this relation transitive?On (A={1,2,3,4,5}), (aRb) if (a) is less than (b). What type of relation is it?On (A={1,2,3,4}), (aRb) if (a+1=b). Is this relation transitive?On (A={1,2,3,4}), (aRb) if (a+2=b). Is this relation transitive?On (A={1,2,3,4,5}), (aRb) if (a+2=b). Why is this relation not transitive?On (A={1,2,3,4}), (R={(1,1),(1,2),(2,2),(2,3),(1,3)}). Choose the correct statement about transitivity.If (R) is transitive and ((a,b)), ((b,c)), ((c,d)) are in (R), which conclusion is correct?On (A={1,2,3}), (R={(1,2),(2,2),(2,3),(1,3)}). Is (R) transitive?