tolong ya kak........

S = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
A = { 2, 3, 5, 7 }
B = { 5, 7 , 9 }

a) A^{c} = { 0, 1, 4, 6, 8, 9, 10 }

b) B^{c} = { 0, 1, 2, 3, 4, 6, 8, 10 }

c) (A ∩ B)^{c}= ({ 2, 3, 5, 7 } ∩ { 5, 7, 9 })^{c}
                      = { 5, 7 }^{c}
                      = { 0, 1, 2, 3, 4, 6, 8, 9, 10 }

d) (A ∪ B)^{c} = ({ 2, 3, 5, 7 } ∪ { 5, 7, 9 })^{c}
                       = { 2, 3, 5, 7, 9 }^{c}
                       = { 0, 1, 4, 6, 8, 10 }

e) A ∩ (A ∪ B)^{c}= { 2, 3, 5, 7 } ∩ { 0, 1, 4, 6, 8, 10 }
                             = { }

f) B^{c} ∩ (A ∪ B) = { 0, 1, 2, 3, 4, 6, 8, 10 } ∩ { 2, 3, 5, 7, 9 }
                             = { 2, 3 }

g) (A ∪ B)^{c}∩ (A ∪ B)^{c} = { 0, 1, 4, 6, 8, 10 } ∩ { 0, 1, 4, 6, 8, 10 }
                                            = { 0, 1, 4, 6, 8, 10 }

h) (A^{c} ∩ B)^{c} ∪ (A ∪ B^{c})^{c} = ({ 0, 1, 4, 6, 8, 9, 10 } ∩ { 5, 7, 9 })^{c} ∪ ({ 2, 3, 5, 7 } ∪ { 0, 1, 2, 3, 4, 6, 8, 10 })^{c} = { 9 }^{c} ∪ { 0,1, 2, 3, 4, 6, 8, 10 }^{c} = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 10 } ∪ { 5, 7, 9 } = { 0,1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }