Correct Notation

  • Thread starter danago
  • Start date
  • #1
danago
Gold Member
1,122
4
Lets say i have two sets of numbers (dealing with real numbers only):

[tex]
\{ x \in R |x \ge 0\}
[/tex]
[tex]
\{ x \in R |3 \ge x\}
[/tex]

And i want to show what the common values in the two sets are. Would my notation be correct if i wrote:

[tex]
\{ x \in R |x \ge 0\} \cap \{ x \in R |3 \ge x\} = \{ x \in R |3 \ge x \ge 0\}
[/tex]


Thanks in advance,
Dan.
 

Answers and Replies

  • #2
cristo
Staff Emeritus
Science Advisor
8,107
73
One would normally write the double inequality in increasing size: [itex]\{x\in\mathbb{R}:0\leq x\leq3\}[/itex]
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,833
956
That is not incorrect but I suspect those who are used to a number line that goes from left to right would find it momentarily confusing!

Most people would find it easier to read
[tex]\{ x \in R |0 \le x \le 3\} [/tex]
 
  • #4
danago
Gold Member
1,122
4
Ok thats fair enough, easy enough to change :smile:

But besides that, everything else ok?

Thanks for the replies.
 

Related Threads on Correct Notation

Replies
1
Views
647
Replies
1
Views
1K
Replies
5
Views
600
  • Last Post
Replies
6
Views
763
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
11
Views
2K
  • Last Post
Replies
2
Views
711
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
5
Views
1K
Top