Page 2 - SET-Basic-sheet-for-free-course

Set & Function Free Basic Course by-Munna Sir
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A 3 S = {x : x  R x(x  2) = x  2x}
2
K 3  6 M 8 N 9
A, B C K S =   S = R M S = N N S Z
K A  B = B  A
L A  (B  C) = (A  B)  C
M A  (B  C) = (A  B)  C 1 3
 A  (B  C) = (A  B)  (A  C) 2 4
3 5

K (1, 2, 3, ............40) L {3, 4, 7} image set
 N {x  N : 2  x  12}
K {1, 2, 3} L {2, 3, 5}  {3, 4, 5} N {1, 3, 5}
A  B = B A  B A = {1, 2, 3} B = {4, 5, 6} 
K A  B  B  A i. A  B = {x : x  N x  7}
M A  B = B N B  A ii. A  B = 
4 = 16 x =
x
iii. A  B = {1, 2, 3, 4, 5, 6}
 2 L 4 M 8 N 16
A = {a, b, c, d} P(A)
K i ii L ii iii M i iii  i, ii iii
K 4 L 8  16 N 32
A, A A  A = A  B 
K U   M A N A i. A  B = B
ii. B\A = 
iii. A  B = A
R, N, Z Q

K Z  Q  N  R L N  R  Q  Z K i ii L ii iii  i iii N i, ii iii
M Q  N  Z  R  N  Z  Q  R
n(A) = 3, n(B) = 4 A  B =  n(A  B) = n(A) = n(B) 
i. A B
K 6  7 M 8 N 12 ii. A B
U A (A) = iii. A B

K U L U\A  A N 
K i L ii M i ii  i, ii iii
N : 1, 2, 3, ................n,..................... U 
i. A\A = 

A : 2, 4, 6, ................2n,..................... ii. A\(A\A) = A
iii. A\(A\A) = 
N A

 L
 i ii L i iii M ii iii N i, ii iii
M N U = {x  Z : 0  x ≤ 10} A = {x 
A = {1, 2, 3} B = {2, 3, 4} P(A  B)
Z : 3  x ≤ 10) B = {x  Z : 0  x  7} 
i. A  B
 {, {2}, {3}, {2, 3}} L {, {1}, {2}, {2, 3}} ii. B  A
M {, {3}, {4}, {3, 4}} N {, {1}, {2}, {1, 2}} iii. A  B
A B A  B
K A L B   N {} K i ii  i iii M ii iii N i, ii iii
A = {a, b, c, d, e} n(A) =
 5 L 10 M 25 N 32
B  P(A) A B C
 B  A L B  A 6 x 3 y 8
M B = A N B  A = 

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