document.write( "Question 1147276: Given three sets, A, B and C, use the laws of the algebra on sets to show that
\n" ); document.write( "(A U B U C) ∩ (A U B' U C) ∩ (A U C)' = ∅ \n" ); document.write( "
Algebra.Com's Answer #768768 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            In the post by @greenestamps,  the first line is not correct.\r
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\n" ); document.write( "\n" ); document.write( "            So,  I came to bring the correct solution.\r
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document.write( "(A U B U C) ∩ (A U B' U C) = ((A\ (A ∩ B)) U (C\ (C ∩ B)).\r\n" );
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document.write( "((A\ (A ∩ B)) U (C\ (C ∩ B)) ∩ (A U C)' = ∅\r\n" );
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document.write( "Here the sign  \" \ \" denotes the difference of a subset and its sub-subset.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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