Class XI Chapter 1 – Sets Maths ______________________________________________________________________________ 65 40 nT 10 65 30 nT nT 65 30 35 Therefore, 35 people like tennis. Now, T C T C T Also, T C T C n T n T C n T C 35 n T C 10 C 35 10 25 n T Thus, 25 people like only tennis. Question 8: In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages? Solution 8: Let F be the set of people in the committee who speak French, and S be the set of people in the committee who speak Spanish n F 50, n S 20, n S F 10 We know that: nS F nS nF nS F 20 50 10 70 10 60 Thus, 60 people in the committee speak at least one of the two languages. Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 1 – Sets Maths ______________________________________________________________________________ Text Solution Question 1: Decide, among the following sets, which sets are subsets of one and another: A x x R x x x 2 : and satisfy 8 12 0 B 2,4,6 , C 2,4,6,8... , D 6 . Solution 1: A x x R x x x 2 : and satisfy 8 12 0 2 and 6 are the only solutions of A 2,6 B 2,4,6 , C 2,4,6,8... , D 6 D A B C Hence, x 2 8x12 0 A B, A C, B C, D A, D B, D C , . Question 2: In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and then A C BC, (iii) If A B and B C , then A C (iv) If A B and then A C (v) If x A and (vi) If A Band Solution 2: (i) False Let Now, A A B 1, 2 and B C, A B, x B, B then x B then x A 1, 1,2 , 3 and 2 1,2 1,2 3 ,1, 1,2 However, 2 3 ,1, 1, 2 (ii) False Let A B C As A B 2 , 0, 2 ,and 1, 0, 2 ,3 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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Class XI Chapter 12 - Introduction

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Class XI Chapter 13 - Limits and De

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**Magazine:** CLASS_11_MATHS_SOLUTIONS_NCERT

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