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When writing an answer in interval notation do we ever identify the variable we are referring to?
For example if I had 1<x<5 and 2<y<6 as an answer to a question and I had to write it in interval notation how do I identify which variable belongs to which interval notation:
(1,5) and (2,6). Do I write x=(1,5) and y=(2,6) or x:(1,5) & y:(2,6)... Everywhere I've looked it seems that we leave out the variables once we convert to interval notation. Don't we leave out some information though?
1 Answer
- Amy JLv 61 decade agoFavorite Answer
Technically in math you use the symbol ∈ to indicate when a variable is an element of some set. For instance you should properly write x ∈ (1,5) or y ∈ (2,6) meaning that x is an element in the interval (1,5). However, this notation is not introduced until math classes beyond calculus, generally in upper undergraduate math classes. Since it isn't used until then you would simply write (1,5) or (2,6) as interval notation and everyone understands that there is only one variable to talk about. You are leaving information out to make it easier, but actually in further math you use the symbol ∈ and then you don't lose information.
Hope this helps you!
