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. $$\{a\}\in\{a, b, c\}$$.
False, It should be written as $$a\,\in \{a,b,c \}$$ or $$\{a\}$$ $$\subset $$ $$\{a,b,c\}$$
State whether the following statement is true or false. $$1\in \{1, 2, 3\}$$.
State whether the following statement is true or false. $$\{a, b\}=\{a, a, b, b, a\}$$.