Precalculus Examples

A = (1, 2, 3)

$A = (1, 2, 3)$ ,

B = (6, 7, 8)

$B = (6, 7, 8)$

Step 1

Set up the intersection notation of set

{6, 7, 8}

${6, 7, 8}$ and

{1, 2, 3}

${1, 2, 3}$ .

{6, 7, 8} \cap {1, 2, 3}

${6, 7, 8} \cap {1, 2, 3}$

Step 2

The intersection of two sets is the set of elements which are in both sets. The intersection in this case is an empty set.

{}

${}$

Step 3

The two sets share no members, therefore the sets are mutually exclusive.

Mutually Exclusive

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