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 H' are disjoint CITY Are P and H' disjoint? OA Yes, because there is at least one prime number that is greater than or equal to 100 OB. Yes, because there are no prime numbers greater than or equal to 100. OC. No, because there is at least one composite number that is less than or equal to 100. OD. No, because there are no composite numbers less than or equal to 100. H = (NEN|n> 100) T= (nENn<1,100) E = (nEN n is even) P= (nEN n is prime)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 40WE
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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 H' are disjoint
Are P and H' disjoint?
OA. Yes, because there is at least one prime number that is greater than or equal to 100.
B. Yes, because there are no prime numbers greater than or equal to 100.
OC. No, because there is at least one composite number that is less than or equal to 100.
OD. No, because there are no composite numbers less than or equal to 100.
H = (nEN|n> 100)
T = (nEN) n<1,100)
E = (nEN n is even)
P = (nEN n is prime)
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 H' are disjoint Are P and H' disjoint? OA. Yes, because there is at least one prime number that is greater than or equal to 100. B. Yes, because there are no prime numbers greater than or equal to 100. OC. No, because there is at least one composite number that is less than or equal to 100. OD. No, because there are no composite numbers less than or equal to 100. H = (nEN|n> 100) T = (nEN) n<1,100) E = (nEN n is even) P = (nEN n is prime)
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