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The given problem appears to be a set operation task, where two sets \( A \) and \( B \) are defined, and we are asked to find their intersection \( A \cap B \).

- The set \( A \) is given as \( A = \{ x \mid -5 < x^2 < 5 \} \). This means that the values of \( x^2 \) must be greater than \(-5\) and less than \( 5 \), which simplifies to \( -\sqrt{5} < x < \sqrt{5} \), since \( x^2 \) cannot be negative.
  
- The set \( B \) is defined as \( B = \{-3, -1, 0, 2, 3\} \), which is a discrete set of numbers.

To find the intersection \( A \cap B \), we need to identify the elements of \( B \) that also satisfy the condition for \( A \) (i.e., that fall within the interval \( -\sqrt{5} < x < \sqrt{5} \)).

Let me now calculate that intersection.The intersection of sets \( A \) and \( B \), denoted \( A \cap B \), is \( \{-1, 0, 2\} \).

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How do we determine intervals for inequalities involving squared terms?
2. What is the significance of set intersection operations in mathematics?
3. How would the answer change if \( B \) had more elements, say \( B = \{-3, -2, -1, 0, 1, 2, 3\} \)?
4. Can you explain how the values \( x^2 \) form a continuous set while \( B \) is discrete?
5. How would you graphically represent the sets \( A \), \( B \), and their intersection?

**Tip**: When solving set-related problems, always check the nature of the sets involved (continuous or discrete) to understand the best approach for intersection or union operations.

已知集合A={x| -5<x^2<5}, B={-3,-1,0,2,3}，则 A ∩ B = ( )

In this math problem, we explore how to find the intersection of two sets. Set A is defined by the inequality -5 < x^2 < 5, and set B is a discrete set of integers {-3, -1, 0, 2, 3}. We determine the common elements in both sets using quadratic inequality analysis.

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