Find the cardinality for each of the following sets. < > { x = Z x² ≤ 4} {(0, {0}), ({0}, 0), (0,0)} {0, 1, 4, 5} U {1, 2, 3, 5} {x | x is an even natural number less than 13} 5. 5 N-Z+ 1. 1 {0, {0, {0}}} 2. 2 3. 3 4. 4 6. 6 7. 7 8. 0

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A: Remark: The number of elements in a set S is called the cardinality of S.

Q: In this problem the universal set will be R. Define the following sets using interval notation: A =…

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A: No. Infinite uncountable sets may have different cardinality.

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A: Let A, B, and C are sets. Now we prove that A∪B∩C and C-A∪B∪(B-(A∪C)) are disjoint.

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A: ꓵ symbol is used to determine the area that is present in both of the set. “ XC “ symbol is used to…