Ordered Field and Completeness Axioms

Practice Questions

Introduction to Analysis › Ordered Field and Completeness Axioms

Questions

4

1

Identify the following property.

For , , and $c\ \epsilon\ \mathbb{R}$ where and then this implies .

2

Identify the following property.

On the space $\mathbb{R}\times \mathbb{R}$ where , $b\ \epsilon\ \mathbb{R}$ only one of the following statements holds true , , or .

3

Identify the following property.

For , , and $c\ \epsilon\ \mathbb{R}$ where and then this implies and and then this implies .

4

Identify the following property.

For , , and $c\ \epsilon\ \mathbb{R}$ where and $c\ \epsilon\ \mathbb{R}$ then this implies .

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