Questions: A=1,2,5,6 B=2,5,7 B ∩ A=E x: 3,6

A=1,2,5,6
B=2,5,7
B ∩ A=E x: 3,6
Transcript text: \[ \begin{array}{l} A=\{1,2,5,6\} \\ B=\{2,5,7\} \end{array} \] \[ B \cap A=\{E x: 3,6 \]
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Solution

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Solution Steps

Step 1: Identify the Sets

We are given two sets:

  • Set \( A = \{1, 2, 5, 6\} \)
  • Set \( B = \{2, 5, 7\} \)
Step 2: Find the Intersection of Sets \( A \) and \( B \)

The intersection of two sets \( A \) and \( B \), denoted as \( A \cap B \), is the set of elements that are common to both sets.

\[ A \cap B = \{2, 5\} \]

Step 3: Find the Union of Sets \( A \) and \( B \)

The union of two sets \( A \) and \( B \), denoted as \( A \cup B \), is the set of elements that are in either set \( A \), set \( B \), or in both.

\[ A \cup B = \{1, 2, 5, 6, 7\} \]

Final Answer

  • Intersection: \(\boxed{A \cap B = \{2, 5\}}\)
  • Union: \(\boxed{A \cup B = \{1, 2, 5, 6, 7\}}\)
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