If A = {x : x is a letter in the word LEVEL} and B = {L, E, V}, which statement is correct?
Answer and explanation
Correct answer: A = B
A set records membership, not the number of times an element appears in the original word. Although LEVEL has five positions, its distinct letters are only L, E, and V. Therefore, A = {L, E, V}. This is exactly the set B. Repeated letters are written only once in a set, so A and B are equal and A has three elements, not five.
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 element appears in the original word. Although LEVEL has five positions, its distinct letters are only L, E, and V. Therefore, A = {L, E, V}. This is exactly the set B. Repeated letters are written only once in a set, so A and B are equal and A has three elements, not five.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
