Questions: Use the accompanying Venn Diagram, which shows the cardinality of each region, to answer the question below. How many elements belong to set A but not set C? There are elements that belong to set A but not set C.

Use the accompanying Venn Diagram, which shows the cardinality of each region, to answer the question below. How many elements belong to set A but not set C? There are elements that belong to set A but not set C.
Transcript text: Use the accompanying Venn Diagram, which shows the cardinality of each region, to answer the question below. How many elements belong to set A but not set C? There are $\square$ elements that belong to set A but not set C .
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Solution

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Solution Steps

Step 1: Identify the regions belonging to set A.

The regions belonging to set A are the ones inside the circle labeled A. These regions contain the numbers 2, 5, 6, and 7.

Step 2: Identify the regions belonging to set C.

The regions belonging to set C are the ones inside the circle labeled C. These regions contain the numbers 3, 5, 7, and 8.

Step 3: Identify the regions belonging to set A but not set C.

We are looking for the regions inside circle A but outside circle C. These regions contain the numbers 2 and 6.

Step 4: Calculate the number of elements in the identified regions.

Add the numbers in the regions identified in the previous step. \(2 + 6 = 8\)

Final Answer

\(\boxed{8}\)

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