Question

complete parts (a) and (b) below for the following set. \\( \bar{j} \cap c \\) \\( \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 \( J \cap C \) represents the intersection of sets \( J \) and \( C \). By definition, the intersection of two sets contains all elements that are in both \( J \) and \( C \).

Step2: Identify the Region in Venn Diagram

In a Venn diagram with two overlapping circles (representing sets \( J \) and \( C \)) inside a universal set \( U \) (the rectangle), the intersection \( J \cap C \) is the region where the two circles overlap (the area common to both \( J \) and \( C \)). So, we shade the overlapping region of the two circles labeled \( J \) and \( C \).

Answer:

To represent \( J \cap C \) (the intersection of sets \( J \) and \( C \)) in the Venn diagram, shade the overlapping region of the two circles labeled \( J \) and \( C \).