Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.
(b) All the points that lie on a straight line.
(c) All the honest members in the family.
(d) All the consonants of the English alphabet.
(e) All the tall boys of the school.
(f) All the efficient doctors of the hospital.
(g) All the hardworking teachers in a school.
(h) All the prime numbers less than 100.
(i) All the letters in the word GEOMETRY.
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Answer:
The answer to the question is O
Explanation:
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(a), (b), (d), (h), (i) are well-defined sets.
Explanation for the answer:
- A set is a well-defined collection of objects known as elements or members of the set.
- If x is a member of the set S, it is written as x ∈ S, and if x is not a member of the set S, we write x ∈ S.
- Well-defined refers to any given object must either be an element of the set, or not be an element of the set.
- Here, (a) All the colors in the rainbow, (b) All the points that lie on a straight line, (d) All the consonants of the English alphabet, (h) All the prime numbers less than 100, (i) All the letters in the word GEOMETRY are the well-defined sets.
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