Which is the roster form of Y = {x : x is a distinct letter occurring in the word “level”}?
Answer and explanation
Correct answer: Y = {l, e, v}
A set records distinct elements, so repeated occurrences are written only once. The word “level” contains the letters l, e, v, e, l. After removing repetitions, the distinct letters are l, e, and v. The order of elements in a set does not matter, so {l, e, v} and {e, l, v} represent the same set. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
Y = {l, e, v}
Why is this the correct answer?
A set records distinct elements, so repeated occurrences are written only once. The word “level” contains the letters l, e, v, e, l. After removing repetitions, the distinct letters are l, e, and v. The order of elements in a set does not matter, so {l, e, v} and {e, l, v} represent the same set. Therefore, option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
