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Css 220 Module 4 Homework

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CSS 220 Module 4 Homework
MORE SET APPLICATIONS:
1. Write the following sets in the set builder form.
o B = {3, 9, 27, 81}
B = {x : x ∈ N, x = 3
p
, p ∈ N, 1 ≤ p ≤ 4}
o E = {4, 6, 8, 10, 12, 14, 16, 18, 20, ......., 52}
E = {x : x ∈ N, x = 4 + 2p, p ∈ N, 0 ≤ p ≤ 24}
o F = {-10, ......, -3, -2, -1, 0, 1, 2, …..., 5}
F = {x : x ∈ Z, -10 ≤ x ≤ 5}
2. Write the following sets in the roster form.
o A = {x : x ∈ N, x ≤ 5}
A = {0, 1, 2, 3, 4, 5}
o B = {x : x ∈ Z, -3 < x < 3)
B = {-2, -1, 0, 1, 2}
o C = {x : x ∈ Z, x is divisible by 12}
C = {…, -36, -24, -12, 0, 12, 24, 36, …}
o D = {x : x ∈ Z, x = 3p, p ∈ Z, p ≤ 3}
D = {…, -9, -6, -3, 0, 3, 6, 9}
The answers to 3 through 12 will be one of the following: A, U, B, ∅, or their compliments.
3. A ∪ ∅ = A
4. A ∩ U = A
5. A ∪ A
c
= U
6. A ∩ A
c
= ∅
7. U
c
= ∅
8. ∅
c
= U
9. A ∪ U = U
10. A ∩ ∅ = ∅
11. A ∩ (A ∪ B) = A
12. A ∪ (A ∩ B) = A

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CSS 220 Module 4 Homework MORE SET APPLICATIONS: 1. Write the following sets in the set builder form. o B = {3, 9, 27, 81} B = {x : x ∈ N, x = 3p, p ∈ N, 1 ≤ p ≤ 4} o E = {4, 6, 8, 10, 12, 14, 16, 18, 20, ......., 52} E = {x : x ∈ N, x = 4 + 2p, p ∈ N, 0 ≤ p ≤ 24} o F = {-10, ......, -3, -2, -1, 0, 1, 2, …..., 5} F = {x : x ∈ Z, -10 ≤ x ≤ 5} 2. Write the following sets in the roster form. o A = {x : x ∈ N, x ≤ 5} A = {0, 1, 2, 3, 4, 5} o B = {x : x ∈ Z, -3 < x < 3) B = {-2, -1, 0, 1, 2} o C = {x : x ∈ Z, x is divisible by 12} C = {…, -36, -24, -12, 0, 12, 24, ...
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