A symbol that expresses the phrase “to be a member of” in the set theory is called the belongs to symbol.
In the set theory, the elements (or members) are collected on the basis of one or more common properties to form a set. So, each element is a member of that set. Hence, it is simply expressed as the element belongs to the set.
An Italian mathematician, Giuseppe Peano used a Greek letter lunate epsilon ($∈$) for expressing the phrase “belongs to” symbolically in set theory. It helps us to express the relationship between an element and its set in mathematical form.
Let’s learn how to use the symbol epsilon in set theory from two understandable examples.
The numbers $0$, $2$, $5$, $8$ and $9$ are collected to form a set $N$ in this example.
Thus, we use the epsilon symbol in set theory to express the relationship between an element and a set in mathematical form.
The lowercase letters $a$, $b$, $c$ and $d$ are collected to form a set $Y$ in this example.
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