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Class 10MathematicsSetsEqual sets and SubsetsEasyLevel 8

If A = {p, q, r}, which of the following is not a subset of A?

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Answer and explanation

Correct answer: {p, s}

A set X is a subset of A only when every element of X is also an element of A. The sets {p, q} and {r} satisfy this condition because their elements occur in A. The empty set is a subset of every set by definition. However, {p, s} contains s, and s is not an element of A, so {p, s} is not a subset of A.

Tags

setssubsetsset-membershipempty-setMathematicsEqual sets and SubsetsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{p, s}

Why is this the correct answer?

A set X is a subset of A only when every element of X is also an element of A. The sets {p, q} and {r} satisfy this condition because their elements occur in A. The empty set is a subset of every set by definition. However, {p, s} contains s, and s is not an element of A, so {p, s} is not a subset of A.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.

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