Questions: Draw a Venn diagram and shade the sections representing the set A' ∪ B

Transcript text: Draw a Venn diagram and shade the sections representing the set $A^{\prime} \cup B$

Solution

Solution Steps

Step 1: Identify the Sets

The problem involves two sets, $ A $ and $ B $, and we need to find the union of the complement of set $ A $ and set $ B $.

Step 2: Define the Complement and Union

The complement of set $ A $, denoted as $ A' $, includes all elements not in $ A $. The union of $ A' $ and $ B $, denoted as $ A' \cup B $, includes all elements that are in either $ A' $ or $ B $ or in both.

Step 3: Visualize the Venn Diagram

To solve the problem, we need to visualize the Venn diagram and shade the area representing $ A' \cup B $.

Final Answer

The Venn diagram should have two circles representing sets $ A $ and $ B $. The shaded area should include everything outside of circle $ A $ and the entire circle $ B $.

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