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I. Write T if the given statement is true with respect to the underlined term(s); otherwise, write the term(s) that will make the statement true. 11. If J = {x € Z|0< x < 4}, then J has exactly 9 subsets. 12. Let E = {even integers} and O = {odd integers}. Then, E| > |0|I. 13. Let F = { x € R|x5 is defined }. Then, F is a proper subset of R. 14. If G = {y e R|y = cos x; x € R}, then, G is an improper subset of R. 15. Let P = {x E R |x² = 16} and Q = {x € R| |x| = 16 }. Then P = Q.

I. Write T if the given statement is true with respect to the underlined term(s); otherwise, write the term(s) that will make the statement true. 11. If J = {x € Z|0< x < 4}, then J has exactly 9 subsets. 12. Let E = {even integers} and O = {odd integers}. Then, E| > |0|I. 13. Let F = { x € R|x5 is defined }. Then, F is a proper subset of R. 14. If G = {y e R|y = cos x; x € R}, then, G is an improper subset of R. 15. Let P = {x E R |x² = 16} and Q = {x € R| |x| = 16 }. Then P = Q.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 21E
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Answer 14 and 15 only TYPEWRITTEN ONLY PLEASE FOR UPVOTE. DOWNVOTE FOR HANDWRITTEN. DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. I'LL DOWNVOTE.
1. Write T if the given statement is true with respect to the underlined term(s); otherwise, write the term(s) that will make the statement true. 11. If J = {x € Z|0< x < 4}, then J has exactly 9 subsets. 12. Let E = {even integers} and O = {odd integers}. Then, |E| > |O|. %3D 13. Let F = {x ER|x° is defined }. Then, F is a proper subset of R. %3D 14. If G = {y € R|y = cos x; x E R}, then, G is an improper subset of R. 15. Let P = {x € R|x² = 16} and Q = {x € R| |x| = 16 }. Then P = Q. %3D
Transcribed Image Text:1. Write T if the given statement is true with respect to the underlined term(s); otherwise, write the term(s) that will make the statement true. 11. If J = {x € Z|0< x < 4}, then J has exactly 9 subsets. 12. Let E = {even integers} and O = {odd integers}. Then, |E| > |O|. %3D 13. Let F = {x ER|x° is defined }. Then, F is a proper subset of R. %3D 14. If G = {y € R|y = cos x; x E R}, then, G is an improper subset of R. 15. Let P = {x € R|x² = 16} and Q = {x € R| |x| = 16 }. Then P = Q. %3D
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