Mathematics
Reflexive relation
Practice questions
On (A={1,2,3}), (R={(a,b):a<b}). Is (R) reflexive or not?A relation (R) on a set (A) is reflexive. What must be true for every (x\in A)?On (A={0,1}), (R={(0,0),(0,1),(1,0)}). Which pair should be added to make (R) reflexive?If (R) is reflexive on (A={p,q,r}), which pair is definitely in (R)?On (A={1,2,3}), what can (R={(1,1),(2,2),(3,3)}) be called?What should be checked first while testing whether a relation is reflexive?On (A={1,2,3}), (R={(1,1),(2,2),(3,2),(1,3),(3,3)}). Choose the correct statement.On (A={1,2,3}), (R={(1,1),(2,3),(3,3)}). Which missing pair makes (R) not reflexive?The relation (R={(a,b):a-b=0}) is given on a set of numbers. Why is it reflexive?On (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}). Is (R) reflexive?On (A={1,2,3}), (R={(a,b):a+b\text{ is odd}}). Is (R) reflexive or not?On (A={1,2,3}), (R={(a,b):a) divides (b}). Is (R) reflexive?On (A={1,2,3}), (R={(a,b):a=b+1}). Why is it not reflexive?If (A={10}), which relation on (A) is reflexive?How many reflexive relations can be formed on (A={1,2})?A set (A) has (3) elements. How many reflexive relations are possible on (A)?On (A={1,2,3}), (R) is reflexive. Which pair must be in (R)?On (A={1,2,3,4}), (R) contains all ((1,1),(2,2),(3,3),(4,4)). Can (R) be called reflexive from this information alone?Which of the following statements is correct for a reflexive relation?On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,1)}). What is the effect of having ((2,1)) in (R)?