Let A- x-x is a natural number - 11 B- x-x is an even number and 1- x- 21 C- x-x is an integer and 15- x- 25 i List the element of A- B- Cii Find nA- nB- nC-iii State whether the following are True T or False F a 7- B b 16- A c 15-20-25 - C d 10-12 - B

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Standard XII

Mathematics

Definition of Sets

Let A= x:...

Question

Let $A =$ { $x : x$ is a natural number $< 11$ }
$B =$ { $x : x$ is an even number and $1 < x < 21$ }
$C =$ { $x : x$ is an integer and $15 \leq x \leq 25$ }
(i) List the element of $A, B, C$
(ii) Find $n (A), n (B), n (C)$ .
(iii) State whether the following are True (T) or False (F)
(a) $7 \in B$
(b) $16 \notin A$
(c) ${15, 20, 25} \subset C$
(d) ${10, 12} \subset B$

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Solution

(i) $A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}, C = {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}$
(ii) $n (A) = 10, n (B) = 10, n (C) = 11$
(iii) a) F b) T c) T d) T

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Let A= { x:x is a natural number <11 } B= { x:x is an even number and 1<x<21 } C= { x:x is an integer and 15≤x≤25 }(i) List the element of A,B,C(ii) Find n(A),n(B),n(C).(iii) State whether the following are True (T) or False (F) (a) 7∈B (b) 16∉A (c) {15,20,25}⊂C (d) {10,12}⊂B

(i) A={1,2,3,4,5,6,7,8,9,10},B={2,4,6,8,10,12,14,16,18,20},C={15,16,17,18,19,20,21,22,23,24,25}(ii) n(A)=10,n(B)=10,n(C)=11(iii) a) F b) T c) T d) T

(i) $A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}, C = {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}$
(ii) $n (A) = 10, n (B) = 10, n (C) = 11$
(iii) a) F b) T c) T d) T