document.write( "Question 644513: Let S and T be sets. Prove that if x ∉ S ∩ T, then X ∉ S or X ∉ T. \n" ); document.write( "
Algebra.Com's Answer #405075 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! If x ∉ S ∩ T, then x is NOT in both sets at the same time. So it must be in one or the other set (or in neither set). So x is exclusively in one set, but not in the other.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So say x is in set T, but not in set S. Then X ∉ S would be true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "OR\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "say x is in set S, but not in set T. Then X ∉ T would be true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If x is in neither set, then both X ∉ S and X ∉ T would be true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |