Question

Which of the following is an empty set?

• A. The set of prime numbers which are even
• B. The solution set of $\frac{2(2x+3)}{x+1}-\frac{2}{x+1}-4=0,x\in R-\{-1\}$
• C. The set of real numbers which satisfy $x^2+ix+i-1=0$
• D. $(A-B)\cap (B-A),$ where $A\&B$ are any two sets.

Answer 1

The correct option is D $(A-B)\cap (B-A),$ where $A\&B$ are any two sets.

$\left(a\right)$ Set of even prime number is a singleton set, i.e., $\left\{2\right\}$

$\left(b\right)$ For $x\in R-\{-1\}$, equation satisfies all the values of $x$.

$\left(c\right)$ For $x=-1$ equation satisfies.

$\left(d\right)$ For two sets $A$ and $B,$
$A-B$ and $B-A$ can be represented as

Both sets are disjoint.
So, option $\left(d\right)$ is the correct option.