Misalkan U = {1,2,3,4,5,6,7,8,9, 10} dan andakan kita mempunyai himpunan bagian berikut ini. A = {1,3,5,7,9}, B = {2,4,5,6,8}, dan C = {3,6,7,9}, dan C = {3,6,7,9}. Tentukanlah elemen-elemen dalam himpunan berikut ini: a) A’= b) C= c) B ∪ C = d) A∪B∪C = e) A∪(B∩C) = f) A∩(B∪C) = g) A’∪(B∩C’) =

<p>∪=gabungan</p><p>∩=irisan</p><p>A'= himpunan di luar anggota A</p><p>1. A'= {2,4,6,8,10}</p><p>2. C = { 3,6,7,9}</p><p>3. B∪C = {2,3,4,5,6,7,8,9}</p><p>4. A∪B∪C = {1,2,3,4,5,6,7,8,9}</p><p>5. A∪(B∩C)= {1,3,5,7,9} ∪ ({2,4,5,6,8}∩{3,6,7,9})</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ={1,3,5,7,9} ∪ {6}</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = {1,3,5,6,7,9}</p><p>6. A∩(B∪C) = {1,3,5,7,9} ∩ {2,3,4,5,6,7,8,9}</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ={3,5,7,9}</p><p>7. A' ∪(B∩C') = {2,4,6,8,10} ∪ ({2,4,5,6,8}∩{1,2,4,5,8,10})</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= {2,4,6,8,10} ∪ {2,4,5,8}</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= {2,4,5,6,8,10}</p>