If F={x: x is a letter occurring in ALGEBRA}, what is its correct roster form?
Answer and explanation
Correct answer: F={A,L,G,E,B,R}
The governing concept is that a set contains distinct elements only. The letters in ALGEBRA are A, L, G, E, B, R, and A; the second A is a repetition, not a new set element. Therefore the roster form is {A,L,G,E,B,R}, making option A correct. Option B repeats A, whereas C omits several letters and D omits A and E.
Frequently asked questions
What is the correct answer to this question?
F={A,L,G,E,B,R}
Why is this the correct answer?
The governing concept is that a set contains distinct elements only. The letters in ALGEBRA are A, L, G, E, B, R, and A; the second A is a repetition, not a new set element. Therefore the roster form is {A,L,G,E,B,R}, making option A correct. Option B repeats A, whereas C omits several letters and D omits A and E.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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