Mathematics
Reflexive relation
Practice questions
What is the correct identification of a reflexive relation?If (A={1,2,3}), which pairs are compulsory for a reflexive relation on (A)?Let (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2)}). What type of relation is (R)?Let (A={1,2,3}) and (R={(1,1),(2,2),(1,3)}). Why is (R) not reflexive?If (A) has 4 elements, what is the minimum number of pairs in a reflexive relation on (A)?If (A={a,b,c,d}), which is the minimum reflexive relation?On a non-empty set (A), what kind of relation is the universal relation (A \times A)?Why is the empty relation (\varnothing) not reflexive on a non-empty set (A)?On (A={5}), (R={(5,5)}). Which statement about (R) is correct?On (A={5}), (R=\varnothing). What is (R)?On (A={1,2}), how many minimum pairs are needed for a relation to be reflexive?Which relation on (A={1,2}) is not reflexive?On (A={1,2,3,4}), (R={(a,a):a \in A}). What can (R) be called?If (R) is reflexive and (A={2,4,6}), which pair must be in (R)?If (R) is reflexive and (A={p,q}), which statement is correct?On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,1),(1,3)}). What is the correct conclusion for (R)?On (A={1,2,3}), (R={(1,1),(3,3),(1,2),(2,3)}). Which pair should be added to make it reflexive?On (A={x,y,z}), (R={(x,x),(y,y),(x,z),(z,x)}). Which pair is needed to make it reflexive?If (R) is a reflexive relation on (A), then (R) will be a subset of what?On (A={1,2,3,4,5}), how many pairs will a reflexive relation have at minimum?