Is the class {{x} : all atoms x} a set? Why yes or no exactly?  Is the class {{x} : all sets and atoms x} a set? Why yes or no exactly?

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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Explain in detail, wether yes or no and why.

Is the class {{x} : all atoms x} a set? Why yes or no exactly? 

Is the class {{x} : all sets and atoms x} a set? Why yes or no exactly?

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