Question

Which of the following pairs of sets are disjoint?

• A. $\{1,2,3,4\}$ and $\{x:x$ is a natural and $4\le x\le 6\}$
• B. $\{a,e,i,o,u\}$ and $\{c,d,e,f\}$
• C. $\{x:x$ is an even integer$\}$ and $\{x:x$ is an odd integer$\}$
• D. $x:x\le 1,x\in W$ and $x:x,x\in N$

Answer 1

Answer: (C)

$\{x:x$ is an even integer$\}$ and $\{x:x$ is an odd integer$\}$

We know that disjoint sets do not have any element in common and even integers cannot be odd and vice versa

Hence, sets of even integers and of odd integers are disjoint sets.