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 \( B \). Regions in \( A \): 1,2,4,5; Regions in \( B \): 2,3,5,6. So \( A \cup B \) regions: 1,2,3,4,5,6.

Step2: Analyze \( B \cup C \)

\( B \cup C \) includes all regions in \( B \) or \( C \). Regions in \( B \): 2,3,5,6; Regions in \( C \): 4,5,6,7. So \( B \cup C \) regions: 2,3,4,5,6,7.

Step3: Find intersection \( (A \cup B) \cap (B \cup C) \)

Intersection is regions common to both \( A \cup B \) and \( B \cup C \). Common regions: 2,3,4,5,6.

Answer:

23456