If A = {x : x is a letter of the English word “LEVEL”}, what are the elements of A?
Answer and explanation
Correct answer: {L, E, V}
The governing concept is that a set contains distinct elements, so repetition does not create new members. The letters in LEVEL are L, E, V, E, L; after removing repeated occurrences, the membership list is {L, E, V}. Therefore option A is correct. Options B and D treat a set like an ordered list or multiset by repeating letters, while C incorrectly omits E.
Frequently asked questions
What is the correct answer to this question?
{L, E, V}
Why is this the correct answer?
The governing concept is that a set contains distinct elements, so repetition does not create new members. The letters in LEVEL are L, E, V, E, L; after removing repeated occurrences, the membership list is {L, E, V}. Therefore option A is correct. Options B and D treat a set like an ordered list or multiset by repeating letters, while C incorrectly omits E.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
