PDF chapter test TRY NOW

1. If \(U = \{a, b, c, d, e, f, g, h\}\), \(A = \{b, d, f, h\}\) and \(B = \{a, d, e, h\}\), find the following sets.
 
(i) \(A'\) \(=\)
 
(ii) \(B'\) \(=\)
 
(iii) \(A' \cup B'\) \(=\)
 
(iv) \(A' \cap B'\) \(=\)
 
(v) \((A\cup B)'\) \(=\)
 
(vi) \((A\cap B)'\) \(=\)
 
(vii) \((A')'\) \(=\)
 
(viii) \((B')'\) \(=\)
 
 
2. Let \(U = \{0, 1, 2, 3, 4, 5, 6, 7\}\), \(A = \{1, 3, 5, 7\}\) and \(B = \{0, 2, 3, 5, 7\}\), find the following sets.
 
(i) \(A'\) \(=\)
 
(ii) \(B'\) \(=\)
 
(iii) \(A' \cup B'\) \(=\)
 
(iv) \(A' \cap B'\) \(=\)
 
(v) \((A\cup B)'\) \(=\)
 
(vi) \((A\cap B)'\) \(=\)
 
(vii) \((A')'\) \(=\)
 
(viii) \((B')'\) \(=\)