If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7}, which set represents the region containing elements only in A in a Venn diagram?
Answer and explanation
Correct answer: {1, 2, 3}
The region containing elements only in A is the set difference A \ B. The elements 4 and 5 occur in both A and B, so they belong to the intersection and must be removed from A. Removing them from {1, 2, 3, 4, 5} leaves {1, 2, 3}. Thus, option A represents the only-A region.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3}
Why is this the correct answer?
The region containing elements only in A is the set difference A \ B. The elements 4 and 5 occur in both A and B, so they belong to the intersection and must be removed from A. Removing them from {1, 2, 3, 4, 5} leaves {1, 2, 3}. Thus, option A represents the only-A region.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.