4. Determine whether each of the following eight statements are True or False: а. (1,2,3} < (1,2,3, Ф} b. {5} C {8,5,4,6} с. {2},3} с (2,4, (3}} d. (Ø } € Ø e. Ø C {{5}} f. A = {1, {2},{{3}}, Ø }, |A| = 4

4. Determine whether each of the following eight statements are True or False: а. (1,2,3} < (1,2,3, Ф} b. {5} C {8,5,4,6} с. {2},3} с (2,4, (3}} d. (Ø } € Ø e. Ø C {{5}} f. A = {1, {2},{{3}}, Ø }, |A| = 4

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.4: Prime Factors And Greatest Common Divisor

Problem 12TFE: True or false Label each of the following statement as either true or false. Let and , then .

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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

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4. Determine whether each of the following eight statements are True or False:
а. {1,2,3} < (1,2,3, Ф}
b. {5} C {8,5,4,6}
с. ([2},3} с (2,4, (3}}
d. {Ø } € Ø
e. Ø C {{5}}
f. A= {1, {2}, {{3}}, Ø },|A| = 4
%3D
%3D

Expert Solution

Step 1

a is true as 1, 2, 3 lies in {1,2,3,phi}

b is true as 5 lies on the set

c is false as set{2} {it is not a point it is a set} not lies in the larger set

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Solved in 2 steps

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