Question

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
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Answer 1

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If U={a,b,c,d,e,f,g,h}, find the complements of the 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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VIDEO EXPLANATION

ANSWER

We know that complement of set A is

A

′

=U−A

Given U={a,b,c,d,e,f,g,h}

(i) A={a,b,c}

A

′

={d,e,f,g,h}

(ii) B={d,e,f,g}

∴B

′

={a,b,c,h}

(iii) C={a,c,e,g}

∴C

′

={b,d,f,h}

(iv) D={f,g,h,a}

∴D

′

={b,c,d,e}