1. For A = {1,3,5,7,9}, B = {2, 3, 4, 6, 7, 8} and the universal set U = {1, 2, ..., 10}, determine the following: (a) An B. (b) AUB. (c) A – B. (d) B – A. (e) A e B. (f) Ā. (g) B.

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}