If A is a subset of B, what is A union B equal to in a Venn diagram?
Answer and explanation
Correct answer: B
A subset of B means every element of A is already contained in B. In a Venn diagram, the circle representing A lies completely inside the circle representing B. Taking the union collects all elements belonging to A or B, but A contributes no elements outside B. Therefore, A union B = B. The other choices do not generally follow from the subset relation, so option B is the only correct answer.
Frequently asked questions
What is the correct answer to this question?
B
Why is this the correct answer?
A subset of B means every element of A is already contained in B. In a Venn diagram, the circle representing A lies completely inside the circle representing B. Taking the union collects all elements belonging to A or B, but A contributes no elements outside B. Therefore, A union B = B. The other choices do not generally follow from the subset relation, so option B is the only correct answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.