Let A be the set {a, {1,a}, {3}, {{1, statements are true and which are false? (a) a € A. (b) {a} A. (c) {1,a} CA. (d) {3,{3}} CA. (e) {1,3} EA. (f) {{1,3}}CA. (8) {{1,a}} CA. (h) {1,a} A. (i) OCA.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 9TFE: True or False Label each of the following statements as either true or false. AB=CB implies A=C, for...
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Let A be the set {a, {1, a}, {3}, {{1,3}},3}. Which of the following
statements are true and which are false?
(α) αΕΑ.
(b) {a} A.
(c) {1,a} CA.
(d) {3,{3}} CA.
(e) {1,3} EA.
(f) {{1,3}} CA.
(8) {{1,a}} CA.
(h) {1,a} A.
(i) 0 CA.
Transcribed Image Text:Let A be the set {a, {1, a}, {3}, {{1,3}},3}. Which of the following statements are true and which are false? (α) αΕΑ. (b) {a} A. (c) {1,a} CA. (d) {3,{3}} CA. (e) {1,3} EA. (f) {{1,3}} CA. (8) {{1,a}} CA. (h) {1,a} A. (i) 0 CA.
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