Question

One or more options are correct:

Which of the following is/are null sets?

• A. A = {x: -10<x<2, x is a natural number}
• B. B = {x:x is an even prime number greater than 2}
• C. C = {x: x²- 3=0. X is rational number}
• D. D = {x: x is an odd natural number divisible by 2}

Answer 1

Answer: (B), (C), (D)

The correct options are
B

B = {x:x is an even prime number greater than 2}

C

C = {x: x²- 3=0. X is rational number}

D

D = {x: x is an odd natural number divisible by 2}

A = {1}, Since 1 is the only natural number between -10 and 2

B = { }; Since 2 is the only even prime. There are no numbers greater than 2 that are even prime.

C = { }; Since $x^2-3=0\Rightarrow x=\pm \sqrt{3}$ which is irrational.

D = { }; Since odd numbers are not divisible by 2.