Question

Show that the following relations are neither reflexive nor symmetric nor
transitive.
a) R = {(a, b) ∶ b = a + 1} on the set A = {1,2,3,4,5,6}
b) R = {(x, y): x − 2y − 3 = 0 } on the set of all real numbers R

Answer 1

Answer:

(ii) R = {(x, y): y = x + 5 and x < 4} = {(1, 6), (2, 7), (3, 8)}. It is seen ... R = {(a, b): a ≤ b2} is neither reflexive nor symmetric nor transitive