Question

Let `A={1,2,3}" and "R={(a,b):a,b in A" and "|a^(2)-b^(2)|le5.`
Write R as set of ordered pairs.
Mention whether R is (i) reflexive (ii) symmetric (iii) transitive.
Give reason in each case.

Answer 1

`R={(1,1),(2,2),(3,3),(2,1),(1,2),(3,2),(2,3)}.`
R is reflexive and symmetric but not transitive.