Hi,
Let say I have a set of positive whole numbers which satisfied the inequality 8 < X. So the set of values should be 7,6,5,4,3,2,1. The exact way to represent that set is {….,4,5,6,7} or {7,6,5,4,….}. I mean the order of the set is important.
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Hi,
Let say I have a set of positive whole numbers which satisfied the inequality 8 < X. So the set of values should be 7,6,5,4,3,2,1. The exact way to represent that set is {….,4,5,6,7} or {7,6,5,4,….}. I mean the order of the set is important.
If X represents the members of the set and 8<X then all members are larger than 8, i.e. the set would be {9,10,11,...}Quote:
Originally Posted by eranga262154
And your sentence above "The exact way..." is a question or a statement?
A set, in the strictest terms, is unordered. If it was ordered then it becomes a sequence.
eg:the set {1,2,3} is identical to {3,1,2} and {3,2,1}
However the sequence <1,3,2> is not the same as <3,1,2> nor <3,2,1>
More formally the sequence is properly defined as the set {(1,1),(2,3),(3,2)} (which is a sequence of pairs) where the first element of each subset determines order, but is normally abbreviated (as above) to <1,3,2> where natural left-right ordering is implied.
Another property of sequences is that duplication is allowed. For instance {1,2,2,3} is not a valid set, but <1,2,2,3> is a valid sequence. A sequence also does not need to comply with any natural ordering, so <3,2,1,2> is a valid sequence but it is not the same as <1,2,2,3>
Hope this helps,
Mark
Quote:
Originally Posted by krtxmrtz
Sorry about that mistake. It should be 8 > X.
And I mean "The exact way..." is that which one is the correct.
Quote:
Originally Posted by yrwyddfa
Fine replay :wave:
Thanks