Question on: SS1 Mathematics - Elementary Set Theory
If \(U = \left\{ 4,6,8,10,12,15,19 \right\},\ C = \{ 4,6,8\},\ D = \{ 10,12,6,15\}\ \)and\(\ E = \{ 4,15,19,6,10\}\), find the following sets:
(a) \(C \cap D\) (b) \(D \cup E\) (c) \(C - D\) (d) \(D’\) (e) \(P(C)\)
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Given \(U = \left\{ 4,6,8,10,12,15,19 \right\},\ \)
\[C = \left\{ 4,6,8 \right\},\]
\[D = \left\{ 10,12,6,15 \right\}\ \]
\[E = \{ 4,15,19,6,10\}\]
(a) \(C \cap D = \{ 6\}\)
(b) \(D \cup E = \{ 4,6,10,12,15,19\}\)
(c) \(\ C - D = \{ 4,8\}\)
(d) \(D^{'} = \{ 4,8,19\}\)
(e) \(P(C) = \ 2^{3} = 8 = \ \varnothing,\ \left\{ 4 \right\},\ \left\{ 6 \right\},\ \left\{ 8 \right\},\ \left\{ 4,6 \right\},\ \left\{ 4,8 \right\},\ \left\{ 6,8 \right\},\ \{ 4,6,8\}\)
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