# Set Question

#### denian

help me with this question

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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#### chroot

Staff Emeritus
Gold Member
The set

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

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

#### denian

alrite. thank you..

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