The solution of given set in roaster form and set builder form.
Answer to Problem 12PPE
The roaster form is
Explanation of Solution
Given information:
The statement,
Calculation:
Consider the following statement,
Write the above set in roaster form and set builder form.
Recall that, the elements are taken in braces is called roaster form. The set builder form describes a properties of an element must have to be included in a set .
Observe that there is no natural number that satisfies the given condition (the set of even natural numbers that are less than 2).
As the set contains even natural numbers that are less than 2, the set is empty.
The number 2 is the first even natural number.
Hence the condition " less than 2 " cannot carry 2 in the set.
Thus, the roaster form is
The set-builder notation is
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