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Question

If U={a,b,c,d,e,f,g,h}, find the complements of following sets:
(i) A={a,b,c} (ii) B={d,e,f,g}
(iii) C={a,c,e,g} (iv) D={f,g,h,a}

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Solution

(i) Given, U={a,b,c,d,e,f,g,h} and A={a,b,c}
A=UA
A={a,b,c,d,e,f,g,h}{a,b,c}
A={d,e,f,g,h}

(ii) Given: U={a,b,c,d,e,f,g,h} and B={d,e,f,g}
B=UB
B={a,b,c,d,e,f,g,h}{d,e,f,g}
B={a,b,c,h}

(iii) Given U={a,b,c,d,e,f,g,h} and C={a,c,e,g}
C=UC
C={a,b,c,d,e,f,g,h}{a,c,e,g}
C={b,d,f,h}

(i) Given: U={a,b,c,d,e,f,g,h} and D={f,g,h,a}
D=UD
D={a,b,c,d,e,f,g,h}{f,g,h,a}
D={b,c,d,e}

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