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If H={1,2,{3,4},5}, which statement is true?

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Answer and explanation

Correct answer: {3,4}∈H

Set membership depends on the elements written directly at the outer level. The elements of H are 1, 2, the single set {3,4}, and 5. Therefore {3,4}∈H is true. The numbers 3 and 4 belong to the inner set, not directly to H, and {1,2} is not listed as one element. Hence option B is the only correct statement.

Related tags

SetsSet MembershipNested SetsElement NotationNumber SystemsMathematicsClass 9 Mcq

Frequently asked questions

What is the correct answer to this question?

{3,4}∈H

Why is this the correct answer?

Set membership depends on the elements written directly at the outer level. The elements of H are 1, 2, the single set {3,4}, and 5. Therefore {3,4}∈H is true. The numbers 3 and 4 belong to the inner set, not directly to H, and {1,2} is not listed as one element. Hence option B is the only correct statement.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems.

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