Question

here is a venn diagram with sets c, d, and the universal set u. shade (c ∪ d) on the venn diagram.

Explanation:

Step1: Understand \( C \cup D \)

The union \( C \cup D \) includes all elements in \( C \), in \( D \), or in both. So, \( C \cup D \) is the area covered by circle \( C \), circle \( D \), and their intersection.

Step2: Find the complement \( (C \cup D)' \)

The complement of a set contains all elements in the universal set \( U \) that are not in the set. So, \( (C \cup D)' \) is the area in \( U \) but outside both circles \( C \) and \( D \).

To shade \( (C \cup D)' \), shade the region inside the rectangle \( U \) but not overlapping with either circle \( C \) or circle \( D \).

Answer:

Shade the region inside the universal set \( U \) (the rectangle) that is outside both circle \( C \) and circle \( D \).