Let X and Y be sets. Is it possible for X ⊂ Y and Y ⊂ X? Explain why or why not
1. Let X and Y be sets. Is it possible for X ⊂ Y and Y ⊂ X? Explain
why or why not
2. Given the following sets:
A = { x | x ∈ Z and − 4 < x ≤ 7 }
B = { y ∈ N | y < 9 }
C = { x | x = y + 3 for some y ∈ Z such that − 6 ≤ y ≤ 6 }
D = { x | x ∈ Z and 3 ≤ x ≤ 9 and x is odd }
E = { x ∈ Z : −5 ≤ x ≤ 5 }
F = {6, 3, 7, 4, 1, 0}
Determine the following:
1.6 Exercises 35
(a) (C ∩ D) ∪ (F ∩ E)
(b) (A − C)
(c) (C − A) × (F ∩ D)
(d) P(B ∩ D)
(e) |(F − D) ∩ E|
3.
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If the set A is a subset of set B, then it can be denoted as: .
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