Q11 of 44 Page 1

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}


(i) A = {2, 3}
B = {x: x is a solution of x2 + 5x + 6 = 0} = {-2, -3}
Therefore the above pair are not equal sets.

(ii) A = {x:x is a letter in the word FOLLOW} = {F, O, L, W}
B = {y:y is a letter in the word WOLF} = {W, O, L, F}
Therefore the above pair are equal sets.

More from this chapter

All 44 →
9
Which of the following sets is finite or infinite?
(i) The set of lines which are parallel to the x-axis.
(ii) The set of letters in the English alphabet.
(iii) The set of numbers which are multiples of 5.
(iv) The set of animals living on earth.
(v) The set of circles in plane passing through the origin(0,0).

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,………….}

12
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}

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}