NCERT Class XI Mathematics - Sets - Solutions
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Question : 44
Total: 73
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}
(i) A = {a, b, c} (ii) B = {d, e, f, g}
(iii) C = {a, c, e, g} (iv) D = {f, g, h, a}
Solution:
(i) A′ = U – A = {a, b, c, d, e, f, g, h} – {a, b, c} = {d, e, f, g, h}
(ii) B′ = U – B = {a, b, c, d, e, f, g, h} – {d, e, f, g} = {a, b, c, h}
(iii) C′ = U – C = {a, b, c, d, e, f, g, h} – {a, c, e, g} = {b, d, f, h}
(iv) D′ = U – D = {a, b, c, d, e, f, g, h} – {f, g, h, a} = {b, c, d, e}.
(ii) B′ = U – B = {a, b, c, d, e, f, g, h} – {d, e, f, g} = {a, b, c, h}
(iii) C′ = U – C = {a, b, c, d, e, f, g, h} – {a, c, e, g} = {b, d, f, h}
(iv) D′ = U – D = {a, b, c, d, e, f, g, h} – {f, g, h, a} = {b, c, d, e}.
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