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September 16, 2026, 02:55:40 am
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Author Topic: is R and [0, infinity) the same thing?  (Read 3006 times)  Share 

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thatdumbstudent

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is R and [0, infinity) the same thing?
« on: March 15, 2020, 07:43:45 pm »
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is R and [0, infinity) the same thing?
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Sine

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Re: is R and [0, infinity) the same thing?
« Reply #1 on: March 15, 2020, 07:56:38 pm »
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Quote from: thatdumbstudent on March 15, 2020, 07:43:45 pm
is R and [0, infinity) the same thing?
no, R is all real numbers so that would be (-infinity, infinity)
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thatdumbstudent

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Re: is R and [0, infinity) the same thing?
« Reply #2 on: March 15, 2020, 08:50:17 pm »
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Quote from: Sine on March 15, 2020, 07:56:38 pm
no, R is all real numbers so that would be (-infinity, infinity)

okay thanks! :)

so would R^+ be the same?
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SS1314

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Re: is R and [0, infinity) the same thing?
« Reply #3 on: March 15, 2020, 09:33:45 pm »
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Quote from: thatdumbstudent on March 15, 2020, 08:50:17 pm
okay thanks! :)

so would R^+ be the same?

That would be (0,infinity) as it only considers positive numbers
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thisissara

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Re: is R and [0, infinity) the same thing?
« Reply #4 on: March 16, 2020, 11:05:49 am »
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As stated above, [0, infinity) is not R, as real numbers includes -ve numbers, thus resulting in (-infinity, infinity)

[0, infinity) would be written as R+U {0} - real positive numbers INCLUDING 0, as 0 is neither +ve or -ve.

Hope this helps :)
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