Question

the other name of Roaster Method is listing method

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Answer 1

Answer:

Defining a Set

There are 22 main ways in which we can define a set. These are known as the listing (or roster) method and the rule method.

Listing Method

This method involves writing the members of a set as a list, separated by commas and enclosed within curly braces. For example, the four seasons are a set and could be written as {Summer, Autumn, Spring, Winter}.

Note: The order of the elements in the list doesn’t matter. For example, we could have written the set of seasons as {Spring, Autumn, Summer, Winter} or {Winter, Autumn, Spring, Summer}.

Rule Method

This method involves specifying a rule or condition which can be used to decide whether an object can belong to the set. This rule is written inside a pair of curly braces and can be written either as a statement or expressed symbolically or written using a combination of statements and symbols.

The rule method is often preferred when defining larger sets where it would be difficult or time consuming to list all of the elements in a set.

For example, a set AA whose elements included all the positive integers could be defined symbolically as:

A={x|x>0}A={x|x>0}

or in statement form as:

A={x|x is a positive number}A={x|x is a positive number}

The set BB, whose elements include all the natural numbers from 11 to 2525 inclusive could be defined symbolically as:

B={x|x∈N,1≤x≤25}B={x|x∈N,1≤x≤25}

or using a statement and symbols as:

B={x|x is a natural number,1≤x≤25}B={x|x is a natural number,1≤x≤25}

Types of Sets

Finite Sets

Finite sets are sets which contain a limited and countable number of elements. The sets A={1,2,6}A={1,2,6} and B={x|1≤x≤10}B={x|1≤x≤10} are both examples of finite sets.

Infinite Sets

Infinite sets contain an unlimited (or infinite) and uncountable number of elements. For example, the sets C={2,4,6,...}C={2,4,6,...} and D={x|x≤0}D={x|x≤0} are both infinite sets.

Answer 2

Answer:

Step-by-step explanation:

Correct answer

Yes the other name of Roaster method is listing method.

Roster method or Listing method : In this method a set is described by listing elements, separated by commas, within braces { }. The set of vowels of English alphabet may be described as {a, e, i, o, u}.

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