Q. 1 F5.0( 3 Votes )

# Which of the following are examples of the null set?

D = {x : x ϵ N, x^{2} + 1 = 0}.

Answer :

Natural numbers = 1, 2, 3, 4, 5, 6,…

If x = 1, then x^{2} + 1 = (1)^{2} + 1 = 1 + 1 = 2 ≠ 0

∴ no elements in the set B because the equation 2x + 3 = 4 is not satisfied by any natural number of x.

∴ It is a null set.

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