Consider the set N of positive integers to be the universal set. Sets H, T, E, and P are defined to the right. Determine whether or not the sets P' and E' are disjoint. Are P' and E' disjoint? O A. No, because there is at least one odd number that is also composite. O B. Yes, because there is at least one even number that is also prime. O C. No, because there are no odd numbers that are also composite. O D. Yes, because there are no even numbers that are also prime. H = {NEN|n>100} T = {nEN|n<1,000} E = {nEN n is even} P = (nEN n is prime}
Consider the set N of positive integers to be the universal set. Sets H, T, E, and P are defined to the right. Determine whether or not the sets P' and E' are disjoint. Are P' and E' disjoint? O A. No, because there is at least one odd number that is also composite. O B. Yes, because there is at least one even number that is also prime. O C. No, because there are no odd numbers that are also composite. O D. Yes, because there are no even numbers that are also prime. H = {NEN|n>100} T = {nEN|n<1,000} E = {nEN n is even} P = (nEN n is prime}
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the set N of positive integers to be the universal set. Sets H, T, E, and P are defined to the right. Determine whether or not the sets P' and E' are disjoint.
Are P' and E' disjoint?
O A. No, because there is at least one odd number that is also composite.
O B. Yes, because there is at least one even number that is also prime.
O C. No, because there are no odd numbers that are also composite.
O D. Yes, because there are no even numbers that are also prime.
C
H = {nEN|n>100}
T = {nEN| n<1,000)
E = {nEN n is even}
P = {nEN| n is prime}
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