If \(A\subseteq B\), where will the circle representing \(A\) be placed in a Venn diagram?
Answer and explanation
Correct answer: Inside \(B\)
The statement \(A\subseteq B\) means that every element of \(A\) is also an element of \(B\). Therefore, the entire region representing \(A\) must lie within the region representing \(B\). In a Venn diagram, this is shown by drawing the circle for \(A\) completely inside the circle for \(B\). Thus, option B is correct; the other placements contradict the definition of a subset.
Frequently asked questions
What is the correct answer to this question?
Inside \(B\)
Why is this the correct answer?
The statement \(A\subseteq B\) means that every element of \(A\) is also an element of \(B\). Therefore, the entire region representing \(A\) must lie within the region representing \(B\). In a Venn diagram, this is shown by drawing the circle for \(A\) completely inside the circle for \(B\). Thus, option B is correct; the other placements contradict the definition of a subset.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
