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The Integral ∫
Lv 7
The Integral ∫ asked in Science & MathematicsMathematics · 9 years ago

if we have an equation that has all real number as a soultion?

if we have an equation that has all real number as a soultion:

all real numbers <------ agree

(-∞ , ∞) <------ agree

{ x I x = all real numbers } <------ can i set it up a this?

Update:

yes thats right, but i need to know if i can put the word"all real numbers" in a set-builder notation.

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  • ted s
    Lv 7
    9 years ago
    Favorite Answer

    f(x) = 0 is the only function which has all reals as solution , domain = all reals

    note : " all real number " is not grammatically correct

  • Bent Snowman
    Lv 7
    9 years ago

    I have never seen words in sets, but I do not really think there are rules that specifically address this. If you use it in a paper I suspect it will be unprofessional just by virtue of people never doing that I think, not because it is "wrong." Maybe I am off base here, if this is the case I hope someone can inform us properly. I would advise using the appropriate symbols (e.g. {x | x∈ℝ}, or ∀x∈ℝ)

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