/Sci/ mathematicians I need your help, assemble

wtf is [math] \bar{\mathbb{R}} [/math]

>>9159236
that is
[math] \mathbb{R} \cup \left \{ -\infty, \infty\right \} [/math]

Oh yes, forgot to mention

On that test, I got 5/10, I need to somehow get this point to so that my actual test will be valid

>>9159232
>I need good compelling theorems/evidence that I am right.
but you weren't

Why can't you just go up and say that R bar wasn't specified?

>>9159256
How come, they never said that it was in [math] \bar{\mathbb{R}} [/math]

Isn't it more logical that it is just in the realm of Real numbers ? It's clear they wanted to reference the Weierstrass theorem, but the theorem states nothing about [math] \bar{\mathbb{R}} [/math]

>>9159259
last month I had a similar problem with [math] \mathbb{R}^{+} [/math], I had to prove that some weird mathematical structure is an Abelian group, and they defined some variables with [math] \mathbb{R}^{+} [/math]. I always thought that zero is too part of [math] \mathbb{R}^{+} [/math], i even wrote down that the structure cannot be Abelian because of that zero.

They of course took my points and when I pledged they just said "It's not, you're wrong, better luck next time"

This time I need something compelling , I am definitely right, things like these are open to interpretation so if that don't state is it [math] \mathbb{R}[/math] or [math] \bar{\mathbb{R}} [/math] I can interpret it however I want

Someone correct me here if I am wrong,

but am I the only one who whenever the realm of numbers is not specified just goes with the appropriate [math] \mathbb{R} [/math] / [math] \mathbb{N} [/math] ??