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Earn +20 ptsQ: Why not all the equal sets are equivalent?
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Are equal sets equivalent set?
yes, equal sets are equalent
What is an equivalent of a set?
equal sets
Can equivalent sets also be equal?
Yes.
Difference between equal sets and equivalent sets?
A = { 1,2,3,4,5,6 } and B = {1,2,3,4,5,6 } A and B above are EQUAL sets because ALL their elements are precisely the SAME. C = {a,b,c,d,e,f} and D = {3,4,5,6,7,8} C and D are EQUIVALENT sets because the NUMBER OF ELEMENTS in both the sets is the same i.e. 6.
Are equal sets also equivalent sets why?
Yes.Two sets, S and T are equal if and only if every element of S is an element of T. It is then easy to show that they have the same cardinality (number of elements), and that would make them equivalent.
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