document.write( "Question 475209: Let U = {4, 5, 6, 7, 8, 9, 10}, A = {4, 5, 6, 7}, B = {4, 5, 8, 9}, and C = {6, 8, 10}. List all the members of each of the sets. (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.)
\n" ); document.write( "(a) A ∪ (B ∩ C)
\n" ); document.write( "{ , , , , }\r
\n" ); document.write( "\n" ); document.write( "(b) A ∪ (B ∩ C)
\n" ); document.write( "{ , , , , } \r
\n" ); document.write( "\n" ); document.write( "Can I get a tutor to show the right way to count these? Thank you very much for all of the help!
\n" ); document.write( "

Algebra.Com's Answer #325842 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
A U B = set of the combination of sets A and B\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A ∩ B = set of common elements between sets A and B\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since B = {4, 5, 8, 9}, and C = {6, 8, 10}\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This means that \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "B ∩ C = {8} \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "because 8 is the only thing sets B and C have in common\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \r
\n" ); document.write( "\n" ); document.write( "A U (B ∩ C)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "becomes\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A U {8}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "which tells us to simply add the element 8 to set A to get the final answer of \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "{4, 5, 6, 7, 8}\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So A U (B ∩ C) = {4, 5, 6, 7, 8}\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For more help with set union and intersection, see this solver.
\n" ); document.write( "
\n" );