4. For every given pairs of sets A and B below, determine whether A = B, or AC B, or BC A, or none of these relations is true. Example: Given : A= {1,2, 3}, B = {1,2,3, 4, 5, 6}. Answer: AC B. Example: Given : A= {1,2, 3}, B = {1,2, 4, 5, 6}. Answer: None is true. %3D (a) A = {1,2, 3}, B = {x |x € Z and r >-1} (b) A = {1,4,6}, B = {x | a € Z and 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. For every given pairs of sets A and B below, determine whether A = B, or AC B, or B CA,
or none of these relations is true.
Example: Given : A = {1, 2, 3}, B = {1,2,3, 4, 5, 6}. Answer: AC B.
Example: Given : A = {1, 2, 3}, B = {1,2, 4, 5, 6}. Answer: None is true.
%3D
%3D
%3D
%3D
(a) A = {1, 2,3}, B = {x | a € Z and a > -1}
(b) A = {1,4,6}, B = {x |x € Z and 0 <a < 5 and a is a perfect square}
%3D
1
(c) A = {a | x € Z and x is even}, B = {x |x € Z and 11 < a? < 20}
(d) A = {1,3,5, 7,9}, B = {x |r € Z and 0 < a? < 100 and x is odd}
%3D
(e) A = {1,3,5, 7,9}, B {r | a = 2k + 1 for some integer k such that 0<k<4}
%3D
%3D
(f) A = {1, 4, 9}, B = {r |0<a < 100 and x is odd and is a perfect square}
Transcribed Image Text:4. For every given pairs of sets A and B below, determine whether A = B, or AC B, or B CA, or none of these relations is true. Example: Given : A = {1, 2, 3}, B = {1,2,3, 4, 5, 6}. Answer: AC B. Example: Given : A = {1, 2, 3}, B = {1,2, 4, 5, 6}. Answer: None is true. %3D %3D %3D %3D (a) A = {1, 2,3}, B = {x | a € Z and a > -1} (b) A = {1,4,6}, B = {x |x € Z and 0 <a < 5 and a is a perfect square} %3D 1 (c) A = {a | x € Z and x is even}, B = {x |x € Z and 11 < a? < 20} (d) A = {1,3,5, 7,9}, B = {x |r € Z and 0 < a? < 100 and x is odd} %3D (e) A = {1,3,5, 7,9}, B {r | a = 2k + 1 for some integer k such that 0<k<4} %3D %3D (f) A = {1, 4, 9}, B = {r |0<a < 100 and x is odd and is a perfect square}
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