Consider the following difference
between equal sets and equivalent sets:
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Equal sets
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equivalent sets
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When two sets have exactly the
same elements.
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When two sets have the same
number of elements
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Example: A = B
Where, A= { a, b, c} and B =
{c, a, b}
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Example:A~B
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Two sets are equal if and only
if they are subsets of each other.
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If and only if there is a one
to one correspondence between them
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So, Equal sets have exactly the same
elements, whereas equivalent sets have the same number of elements.
Tags:
math