Patel Ingram
01/04/2024 · Middle School

Find the set \( A \cap B \). \( \begin{array}{l}U=\{1,2,3,4,5,6,7,8,9\} \\ A=\{1,2,3,7\} \\ B=\{1,2,6\}\end{array} \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( A \cap B=\{\square\} \) (Use a comma to separate answers as needed.) B. \( \mathrm{A} \cap \mathrm{B} \) is the empty set.

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Step-by-step Solution

To find the intersection of sets \( A \) and \( B \) denoted as \( A \cap B \), we need to identify the elements that are common to both sets \( A \) and \( B \). Given: - \( U = \{1,2,3,4,5,6,7,8,9\} \) - \( A = \{1,2,3,7\} \) - \( B = \{1,2,6\} \) The intersection of sets \( A \) and \( B \) is the set of elements that are present in both sets \( A \) and \( B \). Let's find the intersection of sets \( A \) and \( B \): \[ A \cap B = \{1,2\} \] Therefore, the correct choice is: A. \( A \cap B = \{1,2\} \)

Quick Answer

A. \( A \cap B = \{1,2\} \)
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