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The method or representation used in the...

The method or representation used in the set A={x|x is an even natural number less than 15} is called

A

Description method

B

Rule method

C

Roster method

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to identify the method or representation used in the set A = {x | x is an even natural number less than 15}. ### Step-by-Step Solution: 1. **Identify the Set Representation**: The set A is given in the form {x | condition}. This means we are describing the elements of the set based on a specific condition. 2. **Understand the Condition**: The condition provided is "x is an even natural number less than 15". This describes a property that all elements of the set must satisfy. 3. **Analyze the Options**: - **Description Method**: This method describes the set in words, but the given set is not purely in words. - **Rule Method**: This method uses a variable (x) and a condition (px) to define the elements of the set. The set is expressed as {x | px}, which matches our set A. - **Roster Method**: This method lists all the elements of the set explicitly, which is not how set A is represented. 4. **Conclusion**: Since the set A is expressed in the form {x | x is an even natural number less than 15}, it fits the definition of the **Rule Method**. Thus, the answer is that the method or representation used in the set A is called the **Rule Method**.
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