Question

Which of the follownig is/are true?
I. Every set $A$ is a subset of itself.
II. Empty set is a subset of every set.

• A. Only I is true
• B. Only II is true
• C. Both I and II are true
• D. None of these

Answer 1

Answer: (C)

From the definition of subset, it follows that every set is a subset of itself. Since, the empty set $\varphi$ has no element, we agree to say that $\varphi$ is a subset of every set.