Mathematics
Reflexive relation
Practice questions
If (R={(a,b):a+b\text{ is even}}) on (A={1,2,3,4}), what is the correct reason that (R) is reflexive?On (A={1,2,3}), (R={(a,b):a-b\text{ is odd}}) is given. Choose the correct statement about (R).If (A={2,3,4,6}) and (R={(a,b):a\text{ divides }b}), why is (R) reflexive?On (A={1,2,3,4}), (R={(a,b):a\le b}). Which property is definitely present in (R)?On (A={1,2,3}), (R={(a,b):a<b}). (R) is not reflexive because which statement is true?If set A has 4 elements, how many reflexive relations are possible on A?On (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,3),(3,1)}). What minimum action is needed to make it reflexive?On (A={a,b,c}), (R={(a,a),(b,b),(c,c),(a,b)}) and (S={(a,a),(b,c),(c,c)}). What is correct about (R\cap S)?If (R) and (S) are both reflexive relations on (A), what can be said about (R\cap S)?If (R) is reflexive on (A) and (S) is any relation on (A), choose the correct statement about (R\cup S).On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Which statement about (R^{-1}) is correct?On (A={1,2,3}), (R={(1,1),(2,2),(1,3),(3,2)}). How many pairs will be in the reflexive closure of (R)?On (A={1,2,3,4}), a relation contains ((1,1),(3,3),(4,4)) but not ((2,2)). What is the correct conclusion about the relation?On (A={1,2,3}), (R={(a,b):a^2=b^2}). Choose the correct reason for (R) being reflexive.On (A={-1,0,1}), (R={(a,b):a^2=b^2}). Which statement is correct about (R)?On (A={1,2,3,4}), (R={(a,b):a\equiv b \pmod{2}}). What is the reason that (R) is reflexive?On A = {1, 2, 3}, let R = {(a, b) : a + b = 4}. Why is R not reflexive?On (A={1,2,3,4}), (R={(a,b):a+b\ge 2}). What is correct about (R)?On (A={0,1,2}), (R={(a,b):a+b>0}). What is the reason (R) is not reflexive?On (A={1,2,3}), (R={(1,1),(2,2),(3,3)}). What kind of subset of (A\times A) can (R) be called?