Mathematics
Reflexive relation
Practice questions
If (A={1,2,3}), which pair will always be present in every reflexive relation on (A)?On (A={1,2,3}), (R) is reflexive. Which statement is not necessary?How many pairs are there in the identity relation on (A={1,2,3,4})?If (A={1,2,3}) and (R={(1,1),(2,2),(3,3)}), what is the correct statement about (R)?On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3),(3,1)}). Is (R) reflexive?On (A={1,2,3}), (R={(1,1),(2,2),(2,3),(3,1)}). Why does reflexivity fail?What should be checked first while testing a reflexive relation?On (A={1,2,3,4}), (R) is reflexive. Which pair must be in (R)?If (R) is not reflexive, which situation may occur?On (A={1,2,3}), (R={(a,b):a=b\text{ or }a+b\text{ is even}}). Is (R) reflexive?If (A={1,2,3}), which ordered pairs must be present in a relation on (A) for it to be reflexive?On the set (A={a,b}), (R={(a,a),(a,b),(b,b)}) is given. What is (R)?If (A={2,4,6}) and (R={(2,2),(4,4)}), why is (R) not reflexive?To make a relation (R) reflexive on (A={5,7}), what is the minimum set of pairs required?If (R=A\times A) on (A={1,2}), which statement about (R) is correct?Choose the correct statement about the empty relation on a non-empty set (A).On (A={1,2,3,4}), how many pairs must a reflexive relation have at minimum?If (A={x,y,z}), which of the following relations is reflexive?On (A={1,3,5}), (R={(a,b):a=b}). What type of relation is it?On (A={1,2,3}), (R={(a,b):a\le b}) is given. Is (R) reflexive?