document.write( "Question 1076130: PLEASE HELP ASAP!! \r
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\n" ); document.write( "\n" ); document.write( "Let A= {2,5,8,z,$}, B={5,^,z,8,p}, and C={2,z,9,p,△} Find the following:
\n" ); document.write( "a) A U (B ∩ C)
\n" ); document.write( "b) (A U B) ∩ C
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\n" ); document.write( "e) Find n(A x B) \r
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Algebra.Com's Answer #690809 by AnlytcPhil(1807)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "OK, I'll also do e).  I'm the same \"Edwin\" as the \"Edwin\" above. :)\r\n" );
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document.write( "n(A×B)\r\n" );
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document.write( "When there is an × between two sets, that means to make all \r\n" );
document.write( "possible ordered pairs of elements, where each ordered pair\r\n" );
document.write( "of elements has its first coordinate from the first set and\r\n" );
document.write( "the second coordinate from the second set.  So \r\n" );
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document.write( "A×B = { (2,5),(2,^),(2,z),(2,8),(2,p),\r\n" );
document.write( "        (5,5),(5,^),(5,z),(5,8),(5,p),\r\n" );
document.write( "        (8,5),(8,^),(8,z),(8,8),(8,p),\r\n" );
document.write( "        (z,5),(z,^),(z,z),(z,8),(z,p),\r\n" );
document.write( "        ($,5),($,^),($,z),($,8),($,p) }\r\n" );
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document.write( "n(A×B) means the number of elements in A×B.\r\n" );
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document.write( "That, of course is 25, which can be gotten by multiplying\r\n" );
document.write( "the number of elements in A, which is n(A), by the number\r\n" );
document.write( "of elements in B, which is n(B).  \r\n" );
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document.write( "So n(A×B) = n(A)∙n(B) = 5∙5 = 25.\r\n" );
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document.write( "It is not necessary to write out all the elements of A×B\r\n" );
document.write( "as I did above, when you're only asked for n(A×B). If \r\n" );
document.write( "that's all you're asked to find, you only need to multiply \r\n" );
document.write( "the numbers of elements in them.  I only wrote all of A×B \r\n" );
document.write( "out to show you what A×B means.  [BTW, don't use the same \r\n" );
document.write( "symbol for set multiplication as you use for number \r\n" );
document.write( "multiplication.  I used × for set multiplication and ∙ \r\n" );
document.write( "for number multiplication].\r\n" );
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document.write( "Edwin
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