- #1

- 160

- 0

determine if the set

A = { x : x [is an element of] Q | sqrt(2) < x < sqrt(3) }

is an empty set.

how to determine?

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- Thread starter denian
- Start date

- #1

- 160

- 0

determine if the set

A = { x : x [is an element of] Q | sqrt(2) < x < sqrt(3) }

is an empty set.

how to determine?

- #2

chroot

Staff Emeritus

Science Advisor

Gold Member

- 10,239

- 39

[tex]

\left\{

x : x \in \mathbb{Q} \mid \sqrt{2} < x < \sqrt{3}

\right\}

[/tex]

just means "the set of all rational numbers that are between 1.41... and 1.73...

All you have to do to show this set is not empty is to provide one example of a number in the set. How about 3/2?

- Warren

- #3

- 160

- 0

alrite. thank you..

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