Question

shade the portion of the venn diagram to illustrate the given set.
$(acup b)cap (bcup c)$

enter the shaded region without space and without commas in increasing order, ex: if the shaded regions are 2,3, and 4, then type 234

Explanation:

Step1: Analyze \( A \cup B \)

\( A \cup B \) includes all regions in \( A \) or \( B \). So regions: 1, 2, 3, 4, 5, 6.

Step2: Analyze \( B \cup C \)

\( B \cup C \) includes all regions in \( B \) or \( C \). So regions: 2, 3, 5, 6, 7.

Step3: Find Intersection

Intersection of \( A \cup B \) and \( B \cup C \) is regions common to both: 2, 3, 5, 6.

Answer:

2356