Question

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complete parts (a) and (b) below for the following set. \\( a \cap \bar{k} \\) \\( \boldsymbol{a.} \\) shade the portion of the venn diagram that represents the given set. use the graphing tool to graph the intersection. click to enlarge graph

Explanation:

Step1: Understand the set operation

The set is \( A \cap \overline{K} \), which means the elements that are in set \( A \) and not in set \( K \).

Step2: Identify the region in Venn diagram

In the Venn diagram with universal set \( U \), set \( A \) and set \( K \), the region for \( A \cap \overline{K} \) is the part of circle \( A \) that does not overlap with circle \( K \). So we shade the part of circle \( A \) excluding the intersection with circle \( K \).

Answer:

To graph \( A \cap \overline{K} \), shade the region of circle \( A \) that does not overlap with circle \( K \) in the Venn diagram. (In the given Venn diagram, this is the part of the circle labeled \( A \) that is outside the overlapping area with circle \( K \))