Problem

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

Solution

Step 1 :The question is asking for the intersection of sets A and B. The intersection of two sets is the set of elements that are common to both sets. In this case, we need to find the elements that are present in both set A and set B.

Step 2 :Set A = \{1, 2, 3, 4\}

Step 3 :Set B = \{1, 2, 5\}

Step 4 :The intersection of sets A and B is \{1, 2\}

Step 5 :Final Answer: \(A \cap B=\boxed{\{1,2\}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/17056/

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