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Math Assignment Class XI Ch -1 Set Theory
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Mathematics Assignment
Class - XI | Subject Mathematics | Chapter - 1
MATHEMATICS ASSIGNMENT
SET THEORY
For Non-Medical /Applied Math Students
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Q1
Write the following sets in tabular form
a){ x :
x = 2n + 1 ; n ∈ N} Ans{3, 5, 7, 9, ........}
b) {x :
x – 1 = 0} Ans {1}
c) {x :
x = prime number and x ≤ 7 ; x ∈ N
Ans { 2, 3, 5, 7}
d) {x :
x ∈
I,
3x - 2 = 3} Ans {φ}
e) {x :
x2 ≤ 10 , x ∈ Z } Ans{0, 土1, 土2, 土3}
a)
{10, 11, 12, 13, 14, 15} Ans {x : x ∈ N : 9 < x < 16
b) 1, 4,
9, .........., 121} Ans {x2 : x
∈ N ; 1
≤ x ≤ 10
Ans
φ, {1}, {2}, {{3}}, {1,2}, {1, {3}}, {2, {3}}, {1, 2, {3}}
Ans: Except { 5, 10, 11, 15}, all other subsets of A are proper subsets.
Ans: P(A) = {φ, {φ}, {1}, { φ, 1}}
Ans φ,
{-1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, {-1, 0, 1}
A = {0, 1, 2}, B = {a, b}, C = {1, 0, 2},
D = {3, 5, 9, 13} E = {5,
25}, F = {1, d}
Ans
Equal sets: A and C,
Equivalent Sets : B, E and F ; A and C
P= {x :
x is a prime number less than 20}
then
find n(S) + n(P) Ans 41
(a)
A ∩ (B - C) = (A ∩ B) - (A ∩ C)
(b) A -
(B ∩ C) = (A - B) ⋃ (A - C)
a)
A ⋃(A ∩ B) = A
b) (A ⋃ B) – B = A - B
c) (A - B) ⋃ (A ∩ B = A
d) A ⋃ (B - A) = A ⋃ B
e) A -
(A ∩ B) = A - B
f) A ⋃ B) – B = A -
B
A - (B ⋃ C) = (A - B) ∩ (A - C)
(i)
Who study all the three subjects ? Ans 20
(ii)
Who study maths only ? Ans a = 50
(iii)
Who study one of the three subject ? Ans 100
(iv)
Who study two of the three subjects ? Ans 60
(i)
English and Maths but not in science Ans 2
(ii)
Maths and Science but not in English Ans 3
(iii)
Maths only. Ans 3
(iv)
More than one subject only Ans 9
(i)
Only French, Ans 6
(ii)
Only English Ans 3
(iii)
Only Sanskrit Ans 9
(iv)
English and Sanskrit but not French Ans 1
v)
French and Sanskrit but not English Ans 2
(vi)
French and English but not Sanskrit Ans 6
(Vii)
At least one of the three languages And 30
(viii)
None of the three languages Ans 20
a) How many like to play all three games?
b) How many like to play Cricket only?
c) How many like to play Tennis only?
Solution Hint:
C∩T = a + b = 25
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Wonderful question and innovative ideas
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