Let's examine the sets [tex]\(\{0\}\)[/tex] and [tex]\(\{\}\)[/tex].
1. [tex]\(\{0\}\)[/tex] is a set that contains a single element, which is 0. This means the set has one member, 0.
2. [tex]\(\{\}\)[/tex] is an empty set, which means it contains no elements at all.
Since [tex]\(\{0\}\)[/tex] has one element and [tex]\(\{\}\)[/tex] has no elements, these two sets are different.
Therefore, the appropriate symbol to make the expression [tex]\(\{0\}\, ?\, \{\}\)[/tex] true is [tex]\(\neq\)[/tex].
So, [tex]\(\{0\} \neq \{\}\)[/tex].
