Mathematics
Given A = {x : x ∈ N and 3 < x ≤ 6} and B = {x : x ∈ W and x < 4}. Find :
(i) sets A and B in roster form
(ii) A ∪ B
(iii) A ∩ B
(iv) A - B
(v) B - A
Sets
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Answer
A = {x : x ∈ N and 3 < x ≤ 6}
B = {x : x ∈ W and x < 4}
(i) A = {4, 5, 6}
B = {0, 1, 2, 3}
(ii) A ∪ B - contains all the elements in both sets A and B.
A ∪ B = {4, 5, 6} ∪ {0, 1, 2, 3}
A ∪ B = {0, 1, 2, 3, 4, 5, 6}
(iii) A ∩ B - contains all the common elements in both sets A and B.
A ∩ B = {4, 5, 6} ∩ {0, 1, 2, 3}
A ∩ B = ϕ
(iv) A - B - includes all elements in set A but not in set B.
A - B = {4, 5, 6} - {0, 1, 2, 3}
A - B = {4, 5, 6}
(v) B - A - includes all elements in set B but not in set A.
B - A = {0, 1, 2, 3} - {4, 5, 6}
B - A = {0, 1, 2, 3}
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