well-defined sets are sets that can identify easily while not well-defined are those that cannot determined easily :)
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A relation between two sets is defined to be any subset of the two set's Cartesian product. See related links for more information and an example.
There is no difference between improper subset and equal sets. If A is an improper subset of B then A = B. For this reason, the term "improper subset" is rarely used.
set is a collection of well-defined object.
A quadrilateral is a polygon with four 'sides' . A parallelogram is a quadrilateral with two sets of parallel sides.
The difference of two sets A and B , to be denoted by A-B, is the set of all those elements which belong to A but not to B