document.write( "Question 1016956: When A ⊆ B the difference B \ A is defined to be the set of all objects that are in A but not in B.
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document.write( "Construct a counterexample to the statement ”Given A ⊆ B ⊆ C, C \ (B \ A) = (C \ B) \ A”. \n" );
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Algebra.Com's Answer #633300 by richard1234(7193)![]() ![]() You can put this solution on YOUR website! \"B \ A is defined to be the set of all objects that are in A but not in B.\"\r \n" ); document.write( "\n" ); document.write( "It is defined the other way around, i.e. B\A is the set of elements in B but not A.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When A = {1}, B = {1,2}, and C = {1,2,3}, then\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B \ A = {2} --> C \ (B \ A) = {1,3} \n" ); document.write( "C \ B = {3} --> (C \ B) \ A = {3} \n" ); document.write( " |