volume_mute

Valid vs Invalid set

publish date: 2022/07/03 01:43:00 GMT+10

volume_mute

Mark each of the following sets as valid or invalid

  1. Set of natural numbers.
  2. Set of roots of the equation, x2  + 7x + 6 = 0.
  3. A set consisting of prime minister of Australia, capital of the United States, natural numbers 1–10, Taj Mahal and alphabets a–c.
  4. Set of rich people.
  5. Set of cleaver students.
Please drag and drop the selected option in the right place or type it instead
valid
invalid

Correct Answer

(1) valid
(2) valid
(3) valid
(4) invalid
(5) invalid

Explanation

In all three collections, we can identify each object precisely and hence they represent sets.  On the other hand, rich people, clever students, honest people, and so on are relative terms and it is not possible to identify them for want of their proper definitions.  Hence, they do not form sets in language of mathematics.

Reference

Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012

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