Class XI Chapter 1 – Sets Maths ______________________________________________________________________________ Solution 8: (i) For the set of right triangles, the universal set can be the set of triangles or the set of polygons. (ii) For the set of isosceles triangles, the universal set can be the set of triangles or the set of polygons or the set of two-dimensional figures. Question 9: Given the sets A 1,3,5 , B 2,4,6 and C 0, 2, 4,6,8 considered as universals set (s) for all the three sets A, B and C (i) (ii) 0,1, 2,3, 4,5,6 0,1, 2,3, 4,5,6,7,8,9,10 (iii) 1, 2,3, 4,5,6,7,8 (iv) Solution 9: (i) It can be seen that B However, 0,1,2,3,4,5,6 C A 0,1,2,3,4,5,6 Therefore, the set (ii) 0,1,2,3,4,5,6 0,1, 2,3, 4,5,6 A , B , C Therefore, (iii) B C A , which of the following may be cannot be the universal set for the sets A, B, and C. cannot be the universal set for the sets A, B and C. 0,1, 2,3, 4,5,6,7,8,9,10 0,1, 2,3, 4,5,6,7,8,9,10 0,1, 2,3, 4,5,6,7,8,9,10 0,1, 2,3, 4,5,6,7,8,9,10 Therefore, the set is the universal set for the sets A, B, and C. (iv) B A However, 1, 2,3, 4,5,6,7,8 1, 2,3, 4,5,6,7,8 C 1, 2,3, 4,5,6,7,8 Therefore, the set 1, 2,3, 4,5,6,7,8 cannot be the universal set for the sets A, B and C. Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 1 – Sets Maths ______________________________________________________________________________ Exercise 1.4 Question 1: Find the union of each of the following pairs of sets: (i) X1,3,5 Y 1, 2,3 (ii) , , , , , , A a e i o u B a b c (iii) A x : xis a natural number and multipleof 3 B (iv) x : x is a natural number less than 6 A x : x is a natural number and1 x 6 B x : xis a natural number and 6 x 10 (v) A Solution 1: (i) X (ii) X Y 1,2,3 , B 1,3,5 Y 1, 2,3 1,2,3,5 , , , , , , A a e i o u B a b c AB a, b, c, e, i, o, u (iii) A x : x is a natural number and multipleof 3 3,6,9... As B x : x is a natural number less than 6 1, 2,3, 4,5,6 AB 1, 2, 4,5,3,6,9,12... A B x : x 1, 2, 4,5 or a multipleof 3 (iv) A x : xis a natural number and1 x 6 2,3,4,5,6 : is a natural number and 6 10 7,8,9 B x x x AB 2,3, 4,5,6,7,8,9 A B x : x N and1 x 10 (v) A 1, 2,3 , B AB 1, 2,3 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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