document.write( "Question 857321: Find the following; (1) A INTERSECTION {A}. (2) {A,{A}}-A \n" ); document.write( "
Algebra.Com's Answer #516491 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " (1) A INTERSECTION {A}\r\n" ); document.write( "\r\n" ); document.write( "A may have many elements, but none of which is A itself.\r\n" ); document.write( "A set is NEVER an element of itself.\r\n" ); document.write( "\r\n" ); document.write( "However,\r\n" ); document.write( "\r\n" ); document.write( "{A} has just one element, A.\r\n" ); document.write( "\r\n" ); document.write( "Therefore A and {A} have NO ELEMENTS in common! Therefore\r\n" ); document.write( "their intersection is empty.\r\n" ); document.write( "\r\n" ); document.write( "Answer: the empty set.\r\n" ); document.write( "\r\n" ); document.write( "----------------------------\r\n" ); document.write( "\r\n" ); document.write( " {A,{A}}-A\r\n" ); document.write( "\r\n" ); document.write( "We remove A from the set and that leaves {{A}},\r\n" ); document.write( "it must have two braces on each side of A.\r\n" ); document.write( "\r\n" ); document.write( "That is the set that contains as its only element\r\n" ); document.write( "the set that contains A as its only element.\r\n" ); document.write( "\r\n" ); document.write( "Answer {{A}}\r\n" ); document.write( "\r\n" ); document.write( "----------------------------\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |