Answer
(a) { 3,7 }
(b) { 1,2,3,4,5,6,7,8,9}
(c) {1,5,9 }
(d) {2,4,6,8}
(e) { 3,7}
(f) { 2,4,6,8,10}
{g} {2,3,4,6,7,8}
Step-by-step explanation:
We have given A={1,3,5,7,9}, B={2,3,4,6,7,8}
Universal set U={1,2,3,4,5,6,7,8,9,10}
We have to find
(a) [tex]A\cap B[/tex] = {1,3,5,7,9}[tex]\cap[/tex] {2,3,4,6,7,8} ={ 3,7 }
(B) [tex]A\cup B[/tex = {1,3,5,7,9}[tex]\cup[/tex] {2,3,4,6,7,8} ={ 1,2,3,4,5,6,7,8,9}
(c) A-B = {1,3,5,7,9}- {2,3,4,6,7,8} = {1,5,9 }
(d) B-A = {2,3,4,6,7,8} - {1,3,5,7,9} = {2,4,6,8}
(E) [tex]A\in\ B[/tex] = {1,3,5,7,9} [tex]\in[/tex] { 2,3,4,6,7,8} = { 3,7}
(f) [tex]\bar{A}=U-A[/tex] = {1,2,3,4,5,6,7,8,9,10} - {1,3,5,7,9} = { 2,4,6,8,10}
(g) B = {2,3,4,6,7,8}
