https://file.aiquickdraw.com/mathbot/file/17255632017660a2i8mgt.jpg

It looks like you uploaded an image related to a set theory question. The text in the image discusses "membership and cardinality of sets" and involves determining elements greater than or equal to 8 from a set of numbers.

Here is what I can extract and analyze from the image:

1. **Given Set A:**
   The set \( A \) consists of numbers greater than or equal to 8 and less than or equal to 24 from the set \( S = \{ 8, 12, 16, 20, 24, 28, 32 \} \).

   So \( A = \{ 8, 12, 16, 20, 24 \} \) (since 28 and 32 are greater than 24).

2. **Part (a): Find the cardinality of \( A \) and \( B \):**
   This part asks for the cardinality (the number of elements) of sets \( A \) and \( B \). Set \( A \) has 5 elements: \( \{ 8, 12, 16, 20, 24 \} \).

   For set \( B \), the condition to define it is not visible in the current image, so I would need that information to calculate its cardinality.

3. **Part (b): True or False:**
   There is a table with some set-related statements that need to be evaluated as true or false. Since the statements are partially hidden, I'd need more clarity to give an exact answer.

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Would you like to provide more context or clarify any missing parts? Here are a few additional questions to help guide the understanding:

1. Can you confirm the definition of set \( B \)?
2. Are the true/false statements related to specific elements in set theory (like membership, subsets, etc.)?
3. Is there any information related to operations like union or intersection?
4. What does the final question ask about set \( A \) and set \( B \)?
5. Should I further explain cardinality or how we derived the elements of set \( A \)?

**Tip:** When dealing with sets, always pay close attention to conditions defining membership (e.g., "greater than," "less than or equal to") to avoid overlooking any elements.

Find the cardinality of set A, which consists of elements greater than or equal to 8 and less than or equal to 24 from the set {8, 12, 16, 20, 24, 28, 32}. Also, evaluate True or False for some set-related statements.

Learn how to calculate the cardinality of set A, which includes elements greater than or equal to 8 and less than or equal to 24 from the set {8, 12, 16, 20, 24, 28, 32}. This problem involves fundamental set theory concepts such as membership and cardinality. Suitable for Grades 6-8.

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