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Coby9
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#1
Nov 8 2015 10:13am
This looks like a simple question but I've been on it for hours with no luck. I need to answer by true or false.
Witzard
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#2
Nov 8 2015 11:32am
What is N ? All positive integers ?
Coby9
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#3
Nov 8 2015 12:02pm
Quote (Witzard @ Nov 8 2015 01:32pm)
What is N ? All positive integers ? :p
Natural numbers (ℕ): The counting numbers {1, 2, 3, …}, are called natural numbers. Some authors include 0, so that the natural numbers are {0, 1, 2, 3, …}.
feanur
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#4
Nov 8 2015 04:47pm
1. True
2. False
1. is true because {N} only contains N. And N does not contain itself. Hence, there is no common element between N and {N}.
2. is false because {∅} only contains ∅ and {N} only contains N. So, for the intersection not to be empty, you must have ∅ = N, which is not true.
someone3
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#5
Nov 8 2015 10:51pm
oh noooeeess
Coby9
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#6
Nov 9 2015 01:46am
Quote (feanur @ Nov 8 2015 06:47pm)
1. True
2. False
1. is true because {N} only contains N. And N does not contain itself. Hence, there is no common element between N and {N}.
2. is false because {∅} only contains ∅ and {N} only contains N. So, for the intersection not to be empty, you must have ∅ = N, which is not true.
Thanks mate
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