Use $ \subseteq, \nsubseteq, \subset $, or both $ \subset $ and $ \subseteq$ to make a true statement.
-$\varnothing$$\underline{\quad\quad}${${ {5,17,24,36} }$}

A) $\subset$ and $\subseteq$

B) $\subset$
C) ?
D)$\subseteq$

Question

Use $ \subseteq, \nsubseteq, \subset $, or both $ \subset $ and $ \subseteq$ to make a true statement.
-$\varnothing$$\underline{\quad\quad}${${ {5,17,24,36} }$}

A) $\subset$ and $\subseteq$

B) $\subset$
C) ?
D)$\subseteq$

Quizplus · Accepted Answer

The empty set $\varnothing$ is considered to be a subset of every set, including itself. Therefore, it is both a proper subset ($\subset$) of any non-empty set and also a subset ($\subseteq$) of any set, including itself.

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

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