Set Question

  • Thread starter denian
  • Start date
  • #1
denian
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
10,275
40
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
denian
160
0
alrite. thank you..
 

Suggested for: Set Question

  • Last Post
Replies
4
Views
183
Replies
3
Views
284
  • Last Post
Replies
4
Views
290
  • Last Post
Replies
4
Views
74
  • Last Post
Replies
2
Views
226
  • Last Post
Replies
8
Views
309
  • Last Post
Replies
11
Views
276
  • Last Post
Replies
11
Views
385
Replies
4
Views
378
  • Last Post
Replies
1
Views
288
Top