Equal Sets and Equivalent Sets

Equal Sets and Equivalent Sets

Set Number of Elements
\[ A=\{0,a\} \] 2
\[ B=\{1,2,3,4\} \] 4
\[ C=\{4,8,12\} \] 3
\[ D=\{3,1,2,4\} \] 4
\[ E=\{1,0\} \] 2
\[ F=\{8,4,12\} \] 3
\[ G=\{1,5,7,11\} \] 4
\[ H=\{a,b\} \] 2

Equal Sets

Sets having exactly the same elements are equal.

\[ B=D \]

\[ C=F \]

Equivalent Sets

Sets having the same number of elements are equivalent.

\[ A\sim E\sim H \]

\[ C\sim F \]

\[ B\sim D\sim G \]

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