Expressing x is a Real Number and Not 1: Quick Notation Guide

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To express "x is a real number and not 1," the notation x ∈ ℝ ∧ x ≠ 1 is commonly used, but alternatives exist. A more concise way is to use the notation x ∈ ℝ \ {1}, which clearly indicates that x belongs to the set of real numbers excluding 1. This notation effectively communicates the same condition in a simpler format. Participants in the discussion confirm that the latter notation is preferable for clarity and brevity. Overall, using x ∈ ℝ \ {1} is recommended for expressing this mathematical concept.
Char. Limit
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I was wondering how to express "x is a real number and not 1". What's the best way to express this? Right now I'm using...

x \epsilon \mathbb{R} \wedge x \neq 1

But I'm sure there's a better way.
 
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Char. Limit said:
I was wondering how to express "x is a real number and not 1". What's the best way to express this? Right now I'm using...

x \epsilon \mathbb{R} \wedge x \neq 1

But I'm sure there's a better way.

Use the notation x = R \ {1}
 
chiro said:
Use the notation x = R \ {1}

Got it, thanks!
 
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