What is the correct roster form of D = {x : x is a letter occurring in the word MATHEMATICS}?
Answer and explanation
Correct answer: D = {M, A, T, H, E, I, C, S}
The governing concept is roster notation: a set is written by listing its distinct elements, and repetition does not create a new element. MATHEMATICS contains M, A, T, H, E, I, C, and S. Although M, A, and T occur more than once in the word, each is listed only once in a set. Thus option A is correct; B incorrectly repeats letters, C lists vowels only, and D omits several valid letters.
Frequently asked questions
What is the correct answer to this question?
D = {M, A, T, H, E, I, C, S}
Why is this the correct answer?
The governing concept is roster notation: a set is written by listing its distinct elements, and repetition does not create a new element. MATHEMATICS contains M, A, T, H, E, I, C, and S. Although M, A, and T occur more than once in the word, each is listed only once in a set. Thus option A is correct; B incorrectly repeats letters, C lists vowels only, and D omits several valid letters.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
