Class XI Chapter 1 – Sets Maths ______________________________________________________________________________ (vii) The statement 1, 2,5 A 1, 2,5 A (viii) The statement is incorrect because is incorrect because 1, 2,5 is not an element of A. 3 1, 2,3 ; (ix) The statement A is incorrect because is not an element of A. (x) the statement is a subset of every set. (x) The statement A A is correct because is incorrect because ; however, however, 3 A. A. Question 4: Write down all the subsets of the following sets: (i) a ab , (ii) 1, 2,3 (iii) (iv) Solution 4: (i) The subsets of a are ab , (ii) The subsets are 1, 2,3 (iii) The subsets of (iv) The only subset of and a . , a , b , ab , and are , is . . 1 , 2 , 3 , 1,2 , 2,3 , 1,3 1, 2,3 and . Question 5: How many elements has Solution 5: , P A if A We know that if A is a set with m elements i.e., n A m n p A If A , then n A 0. 0 nP A 2 1 Hence, P A has one element. ? , then 2 m . Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 1 – Sets Maths ______________________________________________________________________________ Question 6: Write the following as intervals: x : x R, 4 x 6 (i) x : x R, 12 x 10 (ii) x : x R,0 x 7 (iii) (iv) x : x R,3 x 4 Solution 6: x : x R, 4 x 6 ( 4,6] (i) (ii) x : x R, 12 x 10 12, 10 x : x R, 0 x 7 [0,7) (iii) x : x R, 3 x 4 [3, 4] (iv) Question 7: Write the following intervals in set-builder form: (i) 3,0 6,12 (ii) (iii) (6,12] (iv) [ 23,5) Solution 7: (i) (ii) (iii) (iv) 3,0 x : x R, 3 x 0 6,12 x : x R,6 x 12 (6,12] x : x R,6 x 12 [ 23,5) x : x R, 23 x 5 Question 8: What universal set (s) would you propose for each of the following: (i) The set of right triangles (ii) The set of isosceles triangles 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 4 - Principle of M

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Class XI Chapter 12 - Introduction

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