Mark as true or false If true give a brief justification If

Mark as true or false. If \"true\" give a brief justification. If \"false\" give a counter example (drawing a picture is sufficient). EVERY nonempty set of real numbers has a supremum.
Mark as true or false. If \"true\" give a brief justification. If \"false\" give a counter example (drawing a picture is sufficient). EVERY nonempty set of real numbers has a supremum.

Solution

True. It follows from order-completeness property of real numbers

It says that every non empty set of real numbers which is bounded above admits of a supremum

 Mark as true or false. If \

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