Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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From the Sets Given Below, Select Equal Sets and Equivalent Sets. a = {0, A}, B = {1, 2, 3, 4} C = {4, 8, 12}, D = {3, 1, 2, 4}, E = {1, 0}, F = {8, 4, 12} G = {1, 5, 7, 11}, H = {A, B}. - Mathematics

From the sets given below, select equal sets and equivalent sets.
A = {0, a}, B = {1, 2, 3, 4} C = {4, 8, 12}, D = {3, 1, 2, 4},
E = {1, 0}, F = {8, 4, 12} G = {1, 5, 7, 11}, H = {ab}. 

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Solution

Equal sets:
(a) B and D, because every element of B is a member of D & every element of D is a member of B.
(b) C and F, because every element of C is a member of F & every element of F is a member of 

Equivalent sets:
(a) A, E and H     {\[\because\]n(A) = n(E) =n(H) = 2} 

(b) B, D and G    {\[\because\] n(B) = n(D) =n(G) = 4} 

(c) C and F           {\[\because\]n(C) = n(F)  = 3}
Concept: Equal Sets
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.3 | Q 7 | Page 10
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