can some one please help me with the following question: thanks 1234567
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For the first consider: $\displaystyle A = \left\{ {1,2,4,6} \right\}\;\& \,B = \left\{ {1,2,3,5} \right\}$. Now you answer your own question. For the second one, what $\displaystyle A^2$ mean? I have never seen it defined in a 'set' context.
thanks got the help, A^2 and B^2 means the following let A={1,2} and B={3,4} then A^2={{1,1},{1,2},{2,1},{2,2}} B^2={{3,3},{3,4},{4,3},{4,4}}
Originally Posted by 1234567 A^2 and B^2 means the following let A={1,2} and B={3,4} then A^2={{1,1},{1,2},{2,1},{2,2}} B^2={{3,3},{3,4},{4,3},{4,4}} It appears that you mean the cross product. But the notation is incorrect. $\displaystyle A\times A=\{(1,1),(1,2),(2,1),(2,2)\}$.
You might also want to think about the situation in which $\displaystyle A\cap B= \phi$.
thanks for the help.
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