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Correct Notation

  1. Jul 8, 2007 #1

    danago

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    Gold Member

    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.
     
  2. jcsd
  3. Jul 8, 2007 #2

    cristo

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    Staff Emeritus
    Science Advisor

    One would normally write the double inequality in increasing size: [itex]\{x\in\mathbb{R}:0\leq x\leq3\}[/itex]
     
  4. Jul 8, 2007 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    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]
     
  5. Jul 8, 2007 #4

    danago

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    Gold Member

    Ok thats fair enough, easy enough to change :smile:

    But besides that, everything else ok?

    Thanks for the replies.
     
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