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Write the following set in set builder notation: A={1,2,3,4,5,6,7,8, ...}​

Write the following set in set builder notation: A={1,2,3,4,5,6,7,8, ...}​

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Guest [Entry]

"Answer:

Set builder notation uses predicates to describe sets. A predicate with one argument will be true for some values of that argument and false for others. Set builder notation describes the set of values for which the predicate is true.

If you have a predicate “is a positive integer”, then you can use set builder notation to describe the set of positive integers.

{x∣x is a positive integer}

In formal set theory, you can only use set builder notation to describe subsets of sets, since without that restriction, Russell’s paradox results. If you already have a set of real numbers  R,  then the subset of positive integers could be written as follows.

{x∈R∣x is a positive integer}

Step-by-step explanation:"