document.write( "Question 1131781: Can someone please explain this to me? I am completely lost!\r
\n" );
document.write( "\n" );
document.write( "Thanks.\r
\n" );
document.write( "\n" );
document.write( "U = {a,b,c,d,e,f,g,h,i,j,}
\n" );
document.write( "A = {a, c, e, g, i}
\n" );
document.write( "B = {b, d, f, h, j}
\n" );
document.write( "C = {a, b, d}\r
\n" );
document.write( "\n" );
document.write( "1. Determine 𝐴′ ∩ 𝐵
\n" );
document.write( "2. Determine (𝐴 ∪ 𝐶) − (𝐴 ∩ 𝐶)
\n" );
document.write( "3. Determine Determine 𝐵′ ∩ 𝐶′
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #748455 by MathLover1(20849)![]() ![]() You can put this solution on YOUR website! U = {a,b,c,d,e,f,g,h,i,j,} \n" ); document.write( "A = {a, c, e, g, i} \n" ); document.write( "B = {b, d, f, h, j} \n" ); document.write( "C = {a, b, d} \n" ); document.write( "1. Determine 𝐴′ ∩ 𝐵 \n" ); document.write( "2. Determine (𝐴 ∪ 𝐶) − (𝐴 ∩ 𝐶) \n" ); document.write( "3. Determine Determine 𝐵′ ∩ 𝐶′\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The complement of a set A, denoted by 𝐴′ , is the set of all elements that are in the universal set U but are not in A. \r \n" ); document.write( "\n" ); document.write( "𝐴′ ∩ 𝐵 ={b,d,f,h,j} \n" ); document.write( "B = {b, d, f, h, j}\r \n" ); document.write( "\n" ); document.write( "intersection 𝐴′ ∩ 𝐵 is defined as the set consisting of the elements that are common in 𝐴′and B\r \n" ); document.write( "\n" ); document.write( "=>𝐴′ ∩ 𝐵 ={b,d,f,h,j}\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2. Determine (𝐴 ∪ 𝐶) − (𝐴 ∩ 𝐶) \r \n" ); document.write( "\n" ); document.write( "The union of two sets is a set containing all elements that are in A or in C \n" ); document.write( "if \n" ); document.write( "A = {a, c, e, g, i} \n" ); document.write( "C = {a, b, d} \n" ); document.write( " => (𝐴 ∪ 𝐶)={a, b,c,d, e, g, i} \n" ); document.write( "=>(𝐴 ∩ 𝐶) ={a}\r \n" ); document.write( "\n" ); document.write( "(𝐴 ∪ 𝐶) − (𝐴 ∩ 𝐶) ={a, b,c,d, e, g, i}-{a}={b,c,d, e, g, i}\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3. Determine Determine 𝐵′ ∩ 𝐶′\r \n" ); document.write( "\n" ); document.write( " 𝐵′ the new set gets everything that is in the universe but is outside of B \n" ); document.write( "𝐶′ the new set gets everything that is in the universe but is outside of C\r \n" ); document.write( "\n" ); document.write( "U = {a,b,c,d,e,f,g,h,i,j} \n" ); document.write( "B = {b, d, f, h, j} \n" ); document.write( "𝐵′ ={a,c,e,g,i}\r \n" ); document.write( "\n" ); document.write( "U = {a,b,c,d,e,f,g,h,i,j} \n" ); document.write( "C = {a, b, d} \n" ); document.write( "𝐶′ ={c,e,f,g,h,i,j}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "𝐵′ ∩ 𝐶′={a,c,e,g,i} ∩ {c,e,f,g,h,i,j}={e,g,i}\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |