Set Question

  • Thread starter denian
  • Start date
  • #1
160
0
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?
 

Answers and Replies

  • #2
chroot
Staff Emeritus
Science Advisor
Gold Member
10,226
34
The set

[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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