1. which of the following is a well- defined set? a. the set of big peoples b. ...

Questions

October 2022 1 1 Report

1. which of the following is a well- defined set?
a. the set of big peoples
b. the set of happy peoples
c. the set of prime members
d. the set of intelligent teachers
2. which of the following is a INFINITE set ?
A. {3, 5, 7, ...}
B. {... , -3, -2, -1, 0, 1, 2}
C. set of prime numbers.
D. set of fraction between 1 and 12
3. which of the following pairs of sets given below are equal?
A. Y = {a, b, c,}
Z = { 7, 9, 10}
B. T = {algebra , geometry , trigonometry}
V = { geometry , trigonometry , algebra}
C. W = { grapes , apples , oranges}
X = { grapes , peaches , apples , oranges}
D. R is the set of letters in the world bank
S is the set of letters in the world post
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Answers & Comments

aquitaniaangelika

Verified answer

Kinds of Set

Well-defined Set

1. C. The set of prime numbers

A well defined set is not something that should be subjective, or influenced by someone's opinion. It is something that we can easily tell what are the elements of it and what is not a member of its set.

Example of well-defined sets:

C = {red, orange, yellow, green, blue, indigo, violet}

D is the set of the letters of the alphabet

Infinite Set

2. All of the above.

A set is considered as an infinite set if and only if the elements of the set can not be counted. It is the set that does not have a last element.

Example of infinite set:

A. {3,5, 7, ...} and B. {... , -3, -2, -1, 0, 1, 2}, those are considered as an infinite set since there is an ellipsis present, meaning that the start or the last number is uncertain.

C. set of prime numbers and D. set of fraction between 1 and 12, those are considered as an infinite set since it is impossible for us to have the last number. There will always be a next number even if you thought that it would be the last.