Im a little confused on this and I would apreciate some help, thanks! Consider the following sets: The universal set U = {x | –10 ≤ x ≤ 10, x ∈ I} “I” means integers. N = {x | –10 ≤ x ≤ –1, x ∈ I} (Negative integers) P = {x | 1 ≤ x ≤ 10, x ∈ I} (Positive integers) E = {x | x = 2a, 1 ≤ a ≤ 5, a ∈ I} (Positive even integers) a. Use the provided space to draw a Venn diagram. Write out every element in its correct spot. b. List the disjoint sets, if there are any. c. List any sets that are a subset of another set, if there are any. d. Is P′ = N? Explain.
Im a little confused on this and I would apreciate some help, thanks! Consider the following sets: The universal set U = {x | –10 ≤ x ≤ 10, x ∈ I} “I” means integers. N = {x | –10 ≤ x ≤ –1, x ∈ I} (Negative integers) P = {x | 1 ≤ x ≤ 10, x ∈ I} (Positive integers) E = {x | x = 2a, 1 ≤ a ≤ 5, a ∈ I} (Positive even integers) a. Use the provided space to draw a Venn diagram. Write out every element in its correct spot. b. List the disjoint sets, if there are any. c. List any sets that are a subset of another set, if there are any. d. Is P′ = N? Explain.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 28E
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Im a little confused on this and I would apreciate some help, thanks!
Consider the following sets:
The universal set U = {x | –10 ≤ x ≤ 10, x ∈ I} “I” means integers.
N = {x | –10 ≤ x ≤ –1, x ∈ I} (Negative integers)
P = {x | 1 ≤ x ≤ 10, x ∈ I} (Positive integers)
E = {x | x = 2a, 1 ≤ a ≤ 5, a ∈ I} (Positive even integers)
a. Use the provided space to draw a Venn diagram. Write out every element in its correct spot.
b. List the disjoint sets, if there are any.
c. List any sets that are a subset of another set, if there are any.
d. Is P′ = N? Explain.
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