# Equal sets

Two sets A and B are equal sets when they have the same elements. To indicate two equal sets we write $$A = B$$ To indicate two unequal sets we write $$A \ne B$$

The order of the elements is irrelevant.

Example 1

Sets A and B are equal sets

$$A = \{ 1,3,5,7 \}$$

$$B = \{ 5,1,7,3 \}$$

Each element of set A is in set B. Each element of set B is in set A

Example 2

Sets A and C are not equal sets.

$$A = \{ 1,3,5,7 \}$$

$$C = \{ 5,1,7,4 \}$$

The element 3 is in the set A but not in the set C. The element 4 is in C but not in A.

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