Question

Which set is the subset of all given sets?

• A. $\left\{1,2,3,4,....\right\}$
• B. $\left\{1\right\}$
• C. $\left\{0\right\}$
• D. $\left\{\right\}$

Answer 1

The correct option is D

$\left\{\right\}$

Explanation for the correct option:

Option D: $\left\{\right\}$ is the null set which is the subset of all the given sets.

Hence option D is correct.

Explanation for the wrong options:

Option A: The set $\left\{1,2,3,4,....\right\}$ is the set of natural numbers. It is not a subset of $\left\{1\right\}$, $\left\{0\right\}and\left\{\right\}$

Option B: The set $\left\{1\right\}$ is a subset of $\left\{1,2,3,4,....\right\}$ but not a subset of $\left\{0\right\}and\left\{\right\}$

Option C: The set $\left\{0\right\}$ is not a subset of any of the given sets. $0$ is not a natural number.

Hence, the correct option is D