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प्रश्न
Identify whether the following is set or not? Justify your answer.
A collection of novels written by the writer Munshi Prem Chand.
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उत्तर
A collection of novels written by the writer Munshi Prem Chand is a well-defined collection because one can definitely identify a book that belongs to this collection.
Hence, this collection is a set.
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संबंधित प्रश्न
Identify whether the following is set or not? Justify your answer.
The collection of all natural numbers less than 100.
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A = {x : x is an integer and –3 ≤ x < 7}
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B = {x : x is a natural number less than 6}
Write the following set in roster form:
C = {x : x is a two-digit natural number such that the sum of its digits is 8}
Write the following set in roster form:
D = {x : x is a prime number which is divisor of 60}
Write the following set in roster form:
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Write the following set in the set-builder form:
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List all the elements of the following set:
C = {x : x is an integer, x2 ≤ 4}
If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space:
−4 ...... A
If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space:
12 ...... A
If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space:
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Describe the following sets in Roster form:
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Write a correct form of each of the incorrect statements.
\[a \subset \left\{ a, b, c \right\}\]
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Write a correct form of each of the incorrect statement.
\[a \in {\left\{ a \right\}, b}\]
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Write a correct form of each of the incorrect statement.
\[\left\{ a, b \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\]
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Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:
4 _____ A
Write the following interval in Set-Builder form
`(6, ∞)`
Answer the following:
Write down the following set in set-builder form
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Answer the following:
Write down the following set in set-builder form
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Answer the following:
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C = {x : x2 + 7x – 8 = 0, x ∈ R}
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Write the following sets in the roaster form:
F = {x | x4 – 5x2 + 6 = 0, x ∈ R}
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496 ∉ {y | the sum of all the positive factors of y is 2y}.
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