Q12 of 44 Page 1

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}


Equal sets:
(i) B = D
(ii) C = F;
Equivalent sets:
(i) A, E, H;
(ii) D, G;

More from this chapter

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10
In the following, state whether A = B or not:
(i) A = {a, b, c, d}                          B = {d, c, b, a}
(ii)   A = {4, 8, 12, 16}                   B = {8, 4, 16, 18}
(iii)  A = {2, 4, 6, 8, 10}                B = {x :x is positive even integer less than10}
(iv)  A = {x : x is a multiple of 10}     B = {10, 15, 20, 25, 30,………….}

11
Are the following pair of sets equal? Give reasons.
(i) A = {2, 3} 
B = {x: x is a solution of x2 + 5x + 6 = 0}
(ii) A = {x: x is a letter in the word FOLLOW}
B = {y: y is a letter in the word WOLF}

13
Make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces:
(i)    {2, 3, 4} ……. {1, 2, 3, 4, 5,}
(ii)   {a, b, c}……… {b, c, d}
(iii)  {x : x is a student of Class 9 of your school.} ……..{x: x is a student of your school}
(iv)  {x : x is a circle in the plane} ……..{x : x is a circle with radius 1}
(v)   {x : x is a triangle in the plane} ………. { x : x is a rectangle in the plane}
(vi)  {x : x is an equilateral triangle in the plane}……….{ x : x is a triangle in the plane}
(vii) {x : x is an even natural number} ……… {x : x is an integer}

14
Examine whether the following statements are true or false:
(i)  {a, b} ⊄ {b, c, a}
(ii)  {a, e} Ì { x : x is a vowel in the English alphabet.} 
(iii) {1, 2, 3} Ì {1, 2, 3}
(iv) {a} Ì {a, b, c} 
(v)  {a} Î {a, b, c} 
(vi) {x : x is an even natural number less than 6.} ⊂ { x : x is a natural number which divides 36}