If A ⊆ B, inside which region will A lie in a Venn diagram?
Answer and explanation
Correct answer: Inside B
The governing idea is set inclusion. A ⊆ B states that every element of A is also an element of B. In a Venn diagram, this is represented by drawing the complete region for A inside the region for B. A may be a smaller set, but none of its elements can lie outside B. Option B contradicts inclusion, option C is impossible because sets lie within U, and option D is outside A itself. Thus, option A is correct.
Frequently asked questions
What is the correct answer to this question?
Inside B
Why is this the correct answer?
The governing idea is set inclusion. A ⊆ B states that every element of A is also an element of B. In a Venn diagram, this is represented by drawing the complete region for A inside the region for B. A may be a smaller set, but none of its elements can lie outside B. Option B contradicts inclusion, option C is impossible because sets lie within U, and option D is outside A itself. Thus, option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
