Question

1. Which of the following collections are sets?
(i) The collection of the positive integers that are less than 6
(ii) The collection of big cities of India
(iii) The collection of rich people in India
(iv) The collection of the integers that are divisible by 3​

Answer 1

$\underline{\pink{ Set : }}$

A collection of well defined objects is called a set .

1. Which of the following collections are sets?

(i) The collection of the positive integers that are less than 6

{ 1,2,3,4,5 }

$\green { It \: is \: a \:set }$

(ii) The collection of big cities of India

$\red { It \: is \:not \: a \:set }$

The collection of big cities of India is not a set as there is no specific city to determine whether city is big or not.

(iii) The collection of rich people in India

$\red { It \: is \:not \: a \:set }$

The collection of rich people in India is not a set as there is no specific people to determine whether people is rich or not.

(iv) The collection of the integers that are divisible by 3

{ 3,6,9,12,...}

$\green{ It \:is \: a \: set }$

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Answer 2

Answer:

i and iv options are sets