Answered: Ø ={Ø} I F Øe A for every set A. T F

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Ø ={Ø} I F Øe A for every set A. T F

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 17E

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Question

DIscrete Math:

Look at the statements in the image below. Determine wether or not the statements are true or false. If they are false, explain why.

Ø ={Ø}
Øe A for every set A.
T F
If ACB and BC A then A= B
If A= B then Ax B = B× A.
TF
For any set A, p(A×B) = f>(A)× >(B)
TF

Expert Solution

Step 1

# We are entitled to solve three subparts at a time, please resubmit other parts if you wish to get them answered.

$ϕ = \{ϕ\}$

the statement is false because $ϕ m e a n s e m p t y s e t$

while $\{ϕ\} i s a s e t w i t h e l e m e n t ϕ$

therefore the given statement is FALSE

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