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Class 10MathematicsSetsPower Set and SubsetsEasyLevel 8

If A = {x : x is a distinct letter of the English word LEVEL} and B = {L, E, V}, what is the correct conclusion?

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Answer and explanation

Correct answer: A = B

A set records membership, not the number of times an item appears. The distinct letters in LEVEL are L, E, and V; repeated occurrences of L and E do not create new elements. Thus A = {L, E, V}, which is exactly B. Therefore A = B and option A is correct.

Tags

setsequal_setsdistinct_elementsrepeated_lettersPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A = B

Why is this the correct answer?

A set records membership, not the number of times an item appears. The distinct letters in LEVEL are L, E, and V; repeated occurrences of L and E do not create new elements. Thus A = {L, E, V}, which is exactly B. Therefore A = B and option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.

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