Question

Which of the following set/sets is/are empty?

• A. $A=\{x\mid x+4=0,x\in N\}$
• B. Set of whole numbers less than $1$
• C. Set of integers between $0$ and $2$
• D. Set of rational numbers between $0$ and $1$

Answer 1

Answer: (A)

$A=\{x\mid x+4=0,x\in N\}$

$\left(A\right)$ $A=$ {$x$ $|$x $+4=0$ x $\in$ N}

$x+4=0$

$x=-4$

$A=\varphi$

$4$ is not a natural number .

So $A$ is an empty set.

$\left(B\right)$ Set of whole numbers less than $1$ .

$0$ is a whole number less than $1$.

so, it is not a empty set.

$\left(C\right)$ Set of integers $0$ and $2$.

$1$ is an integer between $0$ and $2$

So it is not an empty set.

$\left(D\right)$ Set of rational number between $0$ and $1$.

There are infinitive number between $0$ and $1$.

so, it is not an empty set.