is {1,3,3,3,5,5,5,5}, {5,3,1} equal

Question

help me please

 

Answer 1

Charles,

 

The collection {1,3,3,3,5,5,5,5} is not a set because it does not contain distinct elements.  It is a collection not a set.  Some collections are sets some are not.  

 

These objects are not equal because one is a set and one is not.

Answer 2

A  set is defined by a collection on distinct elements; no two elements can be the same.

The order in which the elements are listed is irrelevant.  Thus if you had two sets 

A={6,11} and B={11,6} would be equal

Now if you take the idea that each set is a set of distinct elements then when you list a set with multiples of one or more of the elements then that set would be equal to another set that just lists the distinct elements. 

So, if set A={6,6,11,11,6} then it would be equal to set B which only gas the distinct elements 6 & 11 in it: B={6,11}

Now if we use your sets and the explanations I gave above, we would determine that the sets listed were equal. Because the first set just lists multiple copies of the elements 1,3, & 5. The second set again list just the distinct elements but in a different order