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If A is the set of distinct letters of the English word MATH, then A is equal to which set?

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Answer and explanation

Correct answer: {M, A, T, H}

A set formed from the letters of MATH contains each distinct letter as a separate element. The word has four different letters: M, A, T, and H. Therefore A = {M, A, T, H}. The complete word MATH is not the same as the set of its letters; treating it as one element would produce the singleton set {MATH}, which is different.

Tags

setsset-representationdistinct-elementsEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{M, A, T, H}

Why is this the correct answer?

A set formed from the letters of MATH contains each distinct letter as a separate element. The word has four different letters: M, A, T, and H. Therefore A = {M, A, T, H}. The complete word MATH is not the same as the set of its letters; treating it as one element would produce the singleton set {MATH}, which is different.

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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