Search any question & find its solution
Question:
Answered & Verified by Expert
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:
2720 Upvotes
Verified Answer
Here, $U-\{a, b, c, d, e, f, g, h\}$
(i) $A^{\prime}=U-A=\{a, b, c, d, e, f, g, h\}-\{a, b, c\}$
$=\{d, e, g, g, h\}$
(ii) $B^{\prime}=U-B=\{a, b, c, d, e, f, g, h\}-\{d, e, f, g\}$ $=\{a, b, c, h\}$
(iii) $C^{\prime}=U-C=\{a, b, c, d, e, f, g, h\}-\{a, c, e, g\}$ $=\{b, d, f, h\}$
(iv) $D^{\prime}=U-D=\{a, b, c, d, e, f, g, h\}-\{f, g, h, a\}$ $=\{b, c, d, e\}$.
(i) $A^{\prime}=U-A=\{a, b, c, d, e, f, g, h\}-\{a, b, c\}$
$=\{d, e, g, g, h\}$
(ii) $B^{\prime}=U-B=\{a, b, c, d, e, f, g, h\}-\{d, e, f, g\}$ $=\{a, b, c, h\}$
(iii) $C^{\prime}=U-C=\{a, b, c, d, e, f, g, h\}-\{a, c, e, g\}$ $=\{b, d, f, h\}$
(iv) $D^{\prime}=U-D=\{a, b, c, d, e, f, g, h\}-\{f, g, h, a\}$ $=\{b, c, d, e\}$.
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.