QuestionFind the intersection of sets A and B given U, A, and B: $U=\{1,2,3,4,5,6\}$ , $A=\{1,2,3,6\}$ , $B=\{1,2,4\}$ .

Studdy Solution

STEP 1

Assumptions1. The universal set U is {1,,3,4,5,6} . Set A is {1,,3,6}
3. Set B is {1,,4}

STEP 2

The intersection of two sets, A and B, denoted by $A \cap B$ , is the set of all elements that are common to both A and B.
$A \cap B = \{x x \in A \, and \, x \in B\}$

STEP 3

Now, we will identify the common elements in sets A and B.Set A = {1,2,3,6}
Set B = {1,2,}

STEP 4

The common elements in sets A and B are1 and2.
So, $A \cap B = \{1,2\}$ The set $A \cap B$ is {1,2}.

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