Set: Definition

Another example of equal sets:

$\{😀,\,$$😁, \,$$😎\} =\;$$\{😀, \,$$😎, \,$$😁, \,$$😎, \,$$😀, \,$$😀, \,$$😀\}.$

The following two sets, however, aren't equal (why so?), so we use the symbol '$\neq$' (in $\LaTeX$:

$\neq$

):

$\{😀, \,$$😎, \,$$😁, \,$$😎, \,$$😀, \,$$😀, \,$$😀\} \neq \;$$\{😀, \,$$😎, \,$$😁, \,$$😎, \,$$😜, \,$$😀, \,$$😀\}$

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Fun Class Activity: For each pair of sets below, tell if they are equal or not:

1. $\{A, B, C\}$ and $\{C, A, B\}$
2. $\{1, 10, 100\}$ and $\{10, 100, 100, 1, 10\}$
3. $\{\text{Alice}, \text{Bob}, \text{Carol}\}$ and $\{\text{Alice}, \text{Bob}, \text{Mel}\}$