Question

For a given real number x , there is a natural number n which is larger...

For a given real number x , there is a natural number n which is larger than x .

True

False

The supremum of the set of negative integers is 0.

True

False

The supremum of a bounded set of rational numbers is rational.

True

False

The supremum of a bounded set of irrational numbers is irrational.

True

False

Every rational number is the supremum of a bounded set of irrational numbers.

True

False

Every bounded sequence is a Cauchy sequence.

True

False

Math   Advanced-Math   
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