Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let X be the set of all persons living in a state. Elements x, y in X are said to be related if ‘x < y’, whenever y is 5 years older than x. Which one of the following is correct?
Text Solution
Verified by ExpertsThe correct answer is:
D
(x, y) ∈ X ⇔ x < y and y = x + 5 ⇒ (x, x) ∉ X, Hence not reflective
If (x, y) ∈ X ⇒ x < y and y = x + 5
(y, x) ∈ X ⇒ X is not symmetric
Let (x, y) ∈ X and (y, z) ∈ X ⇒ x < y; y = x + 5 and y < z; z = y + 5
⇒ x < z and z = x +10 ⇒ (x, z) ∉ X
Not transitive
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