Sets, Relations and Functions
State whether the following statement is true or false. $$1\in \{1, 2, 3\}$$.
State whether the following statement is true or false. $$\{a, b\}=\{a, a, b, b, a\}$$.
here, $$\{a,a,b,b,a\} = \{a,b\}$$ (as sets contain unique elements) hence, $$\{a,b\}=\{a,b\}$$ Since the elements of both the sets are equal, they are equal sets.
State whether the following statement is true or false. $$1\in \{1, 2, 3\}$$.
State whether the following statement is true or false. $$\{a\}\in\{a, b, c\}$$.