Use $ \subseteq, \nsubseteq, \subset $, or both $ \subset $ and $ \subseteq$ to make a true statement.
-$ \{0\} $ _____ $ \varnothing $

A)$\subset$$\text { or } \subseteq$
B) $\nsubseteq$

C) $\subset$

D) $\subseteq$

Question

Use $ \subseteq, \nsubseteq, \subset $, or both $ \subset $ and $ \subseteq$ to make a true statement.
-$ \{0\} $ _____ $ \varnothing $

A)$\subset$$\text {  or } \subseteq$
B) $\nsubseteq$

C) $\subset$

D) $\subseteq$

Quizplus · Accepted Answer

The set $\{0\}$ does not contain the empty set $\varnothing$ as an element, nor is it a subset of $\varnothing$, because $\varnothing$ has no elements, while $\{0\}$ has one element. Therefore, $\{0\}$ is not a subset of $\varnothing$, making $\nsubseteq$ the correct relation.

Use ⊆,⊈,⊂ \subseteq, \nsubseteq, \subset ⊆,⊈,⊂ , or Both ⊂ \subset ⊂

Use $\subseteq, \nsubseteq, \subset$ , or Both $\subset$