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Sets : Examples that Satisfy Specific Properties - Bounded Above or Below and Integers

In each part of this problem, display an example of a set M with the specific property or properties.

a) M does not equal R (R is the set of all real numbers), but M is bounded neither above nor below.

b) M is bounded above but fails to contain its least upper bound.

c) M is the set of integers that contains neither a smallest element nor a largest element.

d) M is not a set of integers but nevertheless contains both a smallest and a largest

Solution Summary

Examples of sets that have specific properties are examined. The solution is detailed and well presented.