Given U ={7,8,9,10,11,12,13,14,15,16}
A={7,9,11,13,15}
B={8,10,12,14,16}
C={7,8,10,11,14,15}
Now complement of se A i.e Ac = {8,10,12,14} (Since Ac = {x ∈ U : x ∉ A} )
Similarly, Bc ={7,9,11,13,15}
and Cc = {9,12,13,16}
(a) Ac ∩ (B∩Cc) = {8,10,12,14} ∩ {12,16} = {12}
(b) (A U Bc) U (B∩Cc) ={7,9,11,13,15} U {12,16} = {7,9,11,12,13,15,16}
(c) (A U B)c ∩ Cc = {Empty} ∩ {9,12,13,16} = {Empty}
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someone please help
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