Decide whether $\subset$ ,$\subseteq$ , both, or neither can be placed in the blank to make a true statement.
-$\{ 5,6,7 \} \ldots \{ 5,6,7 \}$
A) $\subset$
B) Both $\subset$ and $\subseteq$
C) Neither
D) $\subseteq$

Question

Quizplus · Accepted Answer

The set $\{ 5,6,7 \}$ is equal to itself, so it is a subset or equal to itself, which means $\subseteq$ is the correct choice. However, it is not a proper subset ($\subset$) because it is not strictly contained within another set; it is the same set.

Decide Whether ⊂\subset⊂ ⊆\subseteq⊆ , Both, or Neither Can Be Placed in the Blank

Decide Whether $\subset$ $\subseteq$ , Both, or Neither Can Be Placed in the Blank