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Class 10MathematicsSetsSets and their representationsEasyLevel 2

If H = {x : x ∈ N and x + 5 = x}, what type of set is H?

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Answer and explanation

Correct answer: Empty set

For any number x, the equation x + 5 = x would require subtracting x from both sides, giving 5 = 0. This is impossible, so no natural number satisfies the stated condition. Therefore H contains no elements. A set containing no element is called the empty set, usually denoted by ∅.

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setsempty-setset-builder-formequationsSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Empty set

Why is this the correct answer?

For any number x, the equation x + 5 = x would require subtracting x from both sides, giving 5 = 0. This is impossible, so no natural number satisfies the stated condition. Therefore H contains no elements. A set containing no element is called the empty set, usually denoted by ∅.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.

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