If A = {negative even integers} and B = {negative odd integers}, what is A U B?
Answer
{negative integers}
{ }
{integers}
{0}
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OpenStudy (jagatuba):
That would be the union of set A and set B wouldn't it?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
thats the question
OpenStudy (jagatuba):
Right but union in math really just means the same thing as it does in English 'to join'.
OpenStudy (jagatuba):
What do you get when you join A and B?
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OpenStudy (anonymous):
integers
OpenStudy (jagatuba):
what kind of integers?
OpenStudy (anonymous):
positive
OpenStudy (jagatuba):
Why positive?
OpenStudy (anonymous):
- and - = +
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OpenStudy (jagatuba):
This true if you are multiplying. IS that what is being done?
OpenStudy (anonymous):
i quit lol
OpenStudy (jagatuba):
No don't quit
OpenStudy (jagatuba):
YOu almost got it
OpenStudy (jagatuba):
Think of it like this A U B is like saying A joined with B. If A was a set of red marbles and B was a set of blue marbles what would the set of A U B consist of?
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OpenStudy (anonymous):
blue and red
OpenStudy (jagatuba):
Correct. Joining them does not change their form to purple or something. We still have red and blue marbles. So apply that to a small set of numbers A={1,3,5} and B={2,4,6}. Now what is A U B?
OpenStudy (anonymous):
123456
OpenStudy (jagatuba):
Right now expand that to a larger set A={all even numbers} and B={all odd numbers}. Now what is A U B?
OpenStudy (anonymous):
123456789 ...ect.
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OpenStudy (jagatuba):
Right or {all numbers}. Now just apply the appropriate terminaology (i.e. that used in your question), and you have your answer.
OpenStudy (jagatuba):
If A={negative even integers} and B={negative odd integers} what does A U B contain?