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