document.write( "Question 187192: True or False?
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document.write( "if A⊆B and b∈B then b∈A?
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Algebra.Com's Answer #140313 by vleith(2983)![]() ![]() ![]() You can put this solution on YOUR website! False\r \n" ); document.write( "\n" ); document.write( "There are many A ⊆ B. Any proper subset of B will be missing at least one element of B. So, in your problem, if 'b' is one of the elements that is 'left out of the subset', then b ∈ B but not an ∈ of A\r \n" ); document.write( "\n" ); document.write( "As an example, assume B = {1, 2, 3, 4} \n" ); document.write( "Let A = {1,2}. In this case both 3 and 4 are ∈ B. While neither is ∈ A \n" ); document.write( " |