Mathematics
Reflexive relation
Practice questions
On (A={1,2,3,4}), (R={(a,b):a+b>2a}). Choose the correct statement about (R).On (A={1,2,3}), (R={(a,b):a\leq b}). Why is (R) reflexive?On (A={1,2,3,4}), (R={(a,b):a\neq b}). How many pairs must be added to make (R) reflexive?On (A={1,2,3,4,5}), (R={(a,b):a+b\text{ is divisible by }2}). Which argument correctly proves reflexivity of (R)?On (A={1,2,3,4}), (R={(a,b):a+b\text{ is divisible by }3}). Choose the correct statement for (R).If (A={3,6,9}) and (R={(a,b):a+b\text{ is divisible by }3}), is (R) reflexive?On (A={1,2,3,4,5,6}), (R={(a,b):a \equiv b \pmod{2}}). Choose the correct option about (R).On (A={1,2,3,4,5}), (R={(a,b):a \equiv b+1 \pmod{2}}). Is (R) reflexive?If (A={1,2,3,4}) and (R={(a,b):a \equiv b \pmod{3}}), why is (R) reflexive?On (A={1,2,3,4}), the relation (R={(a,b):a+b\leq 5}) is given. Is (R) reflexive?On (A={1,2,3}), (R={(a,b):a+b\leq 6}). What is the correct statement about (R)?On (A={1,2,3,4}), (R={(a,b):a+b\geq 4}). Is (R) reflexive?If (A={2,3,4,5}) and (R={(a,b):a+b\geq 4}), is (R) reflexive?On (A={1,2,3}), (R={(a,b):ab\geq a^2}). Choose the correct statement for (R).On (A={1,2,3}), (R={(a,b):ab>a^2}). Is (R) reflexive?On (A={1,2,3,4}), (R={(a,b):a^2+b^2\geq 2ab}). What is correct about the reflexivity of (R)?On (A={1,2,3,4}), (R={(a,b):(a-b)^2>0}). Choose the correct statement about (R).On (A={1,2,3,4}), (R={(a,b):(a-b)^2\geq 0}). What type of relation is this?If (A={1,2,3,4}) and (R={(a,b):\frac{a}{b}=1}), is (R) reflexive?On (A={0,1,2}), (R={(a,b):\frac{a}{b}=1}), where the fraction is defined only for (b\neq 0). Is (R) reflexive?