Problem

Write the set using the roster method.
\[
C=\{x \mid 20 \leq x \leq 34 \text { and } x \text { is an even number }\}
\]

Answer

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Answer

So, the set C in roster form is \(\boxed{\{20, 22, 24, 26, 28, 30, 32, 34\}}\).

Steps

Step 1 :The set C is defined as \(C=\{x \mid 20 \leq x \leq 34 \text { and } x \text { is an even number }\}\). This means that the set C contains all even numbers from 20 to 34 inclusive.

Step 2 :To write the set C in roster form, we need to list out all the elements of the set. In this case, we need to generate all even numbers from 20 to 34.

Step 3 :The even numbers from 20 to 34 are 20, 22, 24, 26, 28, 30, 32, 34.

Step 4 :So, the set C in roster form is \(\boxed{\{20, 22, 24, 26, 28, 30, 32, 34\}}\).

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