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Tutoring: The collection of novels written by Munshi Premchand. Is this a set?
Tutoring: The collection of novels written by Munshi Premchand. Is this a set?
Q. Collection of difficult topics in mathematics. Is this a set?
Q. Collection of difficult topics in mathematics. Is this a set?
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined. If the topic fractions is difficult for you, will it be difficult for all others? Is the word difficult a well-defined word?
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined. If the topic fractions is difficult for you, will it be difficult for all others? Is the word difficult a well-defined word?
For one person Statistics may be difficult, for another Algebra may be mind-boggling. ∴ The word "difficult" differs from person to person i.e. not well-defined. ∵ A set is a well-defined collection of things/entities ⇒ This collection is not a set //
Q. The collection of novels written by Munshi Premchand. Is this a set?
Q. The collection of novels written by Munshi Premchand. Is this a set?
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined. Can someone suddenly say that Godaan is not a book by Premchand?
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined. Can someone suddenly say that Godaan is not a book by Premchand?
Yes. The collection of his novels is well-known to all and well-defined. Because, a set must be well-defined, this well-defined collection, is also a set.
Q. The collection of all months of the year beginning with the letter J.
Q. The collection of all months of the year beginning with the letter J.
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined. Can the names of the months in a year suddenly change?
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined. Can the names of the months in a year suddenly change?
A = { January, June, July } This collection is well-defined, and is a set. ∵ A set is a collection of all objects/entities according to a condition/rule, and well defined.
Q. A collection of all the questions in a particular chapter of a given book. Is it a set?
Q. A collection of all the questions in a particular chapter of a given book. Is it a set?
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined. Can you book suggenly get an extra page with extra questions?
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined. Can you book suggenly get an extra page with extra questions?
Yes, the collection of questions in a chapter of a book is fixed & well-defined. ⇒ It is a set, as a set must be well-defined.
Q. A collection of most dangerous animals of the world. Is it a set?
Q. A collection of most dangerous animals of the world. Is it a set?
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined. I love my bird, but my student is aftaid of it. Is the word dangerous well-defined?
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined. I love my bird, but my student is aftaid of it. Is the word dangerous well-defined?
A dog is dangerous according to some people but not dangerous according to pet lovers. Therefore The word "Dangerous" is ambiguous or not well-defined.
But a set has to be well defined -> It is not a set,,
Q. The collection of prime integers. Is it a set?
Q. The collection of prime integers. Is it a set?
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined
HINT: Check if the collection is fixed, specific or well-defined. Because a set must be well-defined
A = { ... ... -11, -7, -5, -3, -2, 2, 3, 5, 7, 11, 13 ... ... }
A prime number is only divisible by 1 and itself E.g.
7 is prime as it is only divisible by 1 (1 x 7 = 7) and itself (7 x 1 = 7)
(not divisible by 2 not by 3 not by 4 not by 5 not by 6)
This is a well-defined collection, so, it is a set,,
Because A set is a well-defined collection of objects.
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