It looks like you're trying to express a mathematical statement about sets and elements. However, the notation needs a bit of clarification. Here's my interpretation of what you might be asking:

You have:

• $x \in s$, meaning that $x$ is an element of the set $s$.
• Then you're asking whether $\{ x \} = s$, meaning whether the set containing $x$ is equal to the set $s$.

Breaking it down:

1. $x \in s$: This means that $x$ is an element of the set $s$, i.e., $x$ is one of the objects contained in the set $s$.

2. $\{ x \} = s$: The set $\{ x \}$ is a set that contains the element $x$ alone. This would be equal to the set $s$ only if $s$ contains exactly $x$ and no other elements.

So, the statement $\{ x \} = s$ holds if and only if $s = \{ x \}$. In other words, for this to be true, the set $s$ must be the set that only contains $x$ as its sole element.

Example:

• If $s = \{ 3 \}$ and $x = 3$, then $x \in s$ and $\{ x \} = \{ 3 \}$, so $\{ x \} = s$.
• But if $s = \{ 3, 5 \}$, then $\{ x \} = \{ 3 \}$ would not be equal to $s$ unless $x$ were specifically $3$ and the set $s$ only contained that one element.

Would you like further clarification on set theory, or do you have additional questions on this topic?

Here are some questions that might expand on this:

1. What does it mean for two sets to be equal?
2. How do you express "subset" relationships in set theory?
3. What happens when a set contains other sets as its elements?
4. How does set membership differ from set inclusion?
5. Can a set contain itself, and if so, under what conditions?

Tip: Always remember that $\{ x \}$ is a set containing the element $x$, whereas $x \in s$ refers to $x$ being one of the elements in $s$.