Question
Verify the assertion that two sets $A$ and $B$ are equal if and only if (1) $A \subseteq B$ and (2) $B \subseteq A$.
Step 1
Suppose that $A = B$. This means that every element in $A$ is also in $B$, and every element in $B$ is also in $A$. Therefore, $A \subseteq B$ and $B \subseteq A$. Show more…
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