Is the set 7 5 3 well ordered prove or disproveSolutionA we
Is the set {-7, -5, -3, .....} well ordered?
prove or disprove.
Solution
A well-order on a set S is a total order on S with the property that every non-empty subset of S has a least element in this ordering. The set S together with the well-order relation is then called a well-ordered set.
Given set {-7,-5,-3,-1,1,3,...} is non empty sub set of real numbers and -7 is least element of S and its every non-empty subset has a least element.
Therefore it is a wellordered set.
