Venn Diagram

C

Clifford

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Nov 15, 2006
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Given is a set of all real numbers. Draw a venn diagram illustrating the relationship between the following sets:

A = x | set of all odd numbers
B = x | set of all even numbers
C = x| set of all postive numbers
D = x | set of real numbers such that -4 <= x <= 4

diagramip4.jpg


Is this how it would be set up?
 
No! None of that is correct.
Do you know that odd and even numbers are integers?
Do you know that that real numbers include more that the integers?
How can D possibly be a subset of C?
 
How can D possibly be a subset of C?

C is all positive numbers
D is -4, -3, -2, -1, 0, 1, 2, 3, 4
1,2,3,4 are all positive numbers so I thought it would be a subset of C?

Since none of it is correct, could you explain and perhaps help me with the proper way to do it?
 
Clifford said:
Since none of it is correct, could you explain and perhaps help me with the proper way to do it?
Click to expand...
Actually I think that the question is nonsensical!
But if you must, draw two disjoint circles that will represent A & B.
Then draw two circles that intersect each other and both intersecting A & B; but neither of those two is a subset of the other.
 
Something like this then?

diagramxd7.jpg


By comparing the sets to the circle this seems to make sense.
 
Clifford said:
C is all positive numbers
D is -4, -3, -2, -1, 0, 1, 2, 3, 4
Click to expand...
And -4, -3, -2, -1, and 0 are not positive. So how can they be in C? Since "D is a subset of C" means that "every element of D is also an element of C", this would require that negative numbers be included inside the set of "all positive numbers". How are you getting this as your answer?

Please reply with your reasoning. Thank you.

Eliz.
 
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