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If A is a subset of B, what is A union B equal to in a Venn diagram?

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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.

Tags

setsvenn diagramssubsetunionMathematicsClass 10 MCQ

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.

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