Question

In sets three types of representation methods
are used . But the set Builder Method
is very different in that vibrates denotes (x)
what are vibrates?​

Answer 1

Descriptive form of set : One way to specify a set is to give a verbal description of its elements. This is known as the Descriptive form of specification. The description must allow a concise determination of which elements belong to the set and which elements do not.

Answer 2

Step-by-step explanation:

Any well-defined collection of mathematical objects can form a set. These objects could be anything – from people’s names to their ages/likes /dislikes; entities from simple number system to complex scientific data; from outcomes of a single dice roll or a coin toss to such experiments repeated 100s or 1000s of times.

The ONLY condition which is to be kept in mind is that the entities or objects must be related through the same rule. For example:

Collection of the names of the freedom fighters of India.

Family of all natural numbers/whole numbers/odd numbers/even numbers/rational numbers/integers/real numbers.

A group of possible outcomes of a dice roll or a coin toss.

Collection of crucial data gathered by ISRO from MOM.

A collection of day/night temperatures.

And there are many more such examples that will form a collection. The important point to notice here is that the rule that defines or law through which we collect or group objects should be universal.

For example, if I say that a group of all the intelligent scientists, it will contain people who I insist are intelligent. If I ask you to form the same group, it will have different names inside it. We say that the rule “intelligent scientists” is not well-defined.