Let A = {1, 2, 3, 4, 5, 8} and B = {1, 2, 8}. Indicate if each statement is true or false.

7∈A
 
and

B⊂A

Let's analyze the statements one by one:

1. **7∈A**: 
   This statement means "7 is an element of set A." Looking at set \( A = \{1, 2, 3, 4, 5, 8\} \), we see that 7 is not an element of set \( A \).  
   **Result**: False

2. **B⊂A**:
   This statement means "B is a subset of A." A set \( B \) is a subset of \( A \) if every element of \( B \) is also in \( A \). Looking at set \( B = \{1, 2, 8\} \) and set \( A = \{1, 2, 3, 4, 5, 8\} \), we see that all elements of \( B \) (1, 2, 8) are in \( A \).  
   **Result**: True

Would you like further details or have any questions?

Here are 5 related questions to deepen understanding:
1. What is the difference between a subset and a proper subset?
2. Can a set be a subset of itself? Why?
3. What is the complement of set B with respect to set A?
4. How can we determine the union of sets A and B?
5. What does the intersection of A and B look like?

**Tip**: When verifying if one set is a subset of another, check if every element of the smaller set appears in the larger set.

Let A = {1, 2, 3, 4, 5, 8} and B = {1, 2, 8}. Indicate if each statement is true or false.

7∈A
and
B⊂A

Analyze the set relationships between A = {1, 2, 3, 4, 5, 8} and B = {1, 2, 8} to determine if 7 is an element of A and whether B is a subset of A. This problem explores key set theory concepts and is ideal for students in Grades 6-8.

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