Write the set using the roster method.
Set $C$ is the set of positive two-digit even numbers less than 47 that are divisible by 3

Answer

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Answer

Thus, the set $C$ can be written using the roster method as $\boxed{\{12, 18, 24, 30, 36, 42\}}$.

Steps

Step 1 ：Define the set $C$ as the set of positive two-digit numbers that are less than 47, even, and divisible by 3.

Step 2 ：Start by listing all the two-digit numbers less than 47.

Step 3 ：From this list, select only the numbers that are even and divisible by 3.

Step 4 ：The numbers that satisfy all these conditions are 12, 18, 24, 30, 36, and 42.

Step 5 ：Thus, the set $C$ can be written using the roster method as $\boxed{\{12, 18, 24, 30, 36, 42\}}$.