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Practice Exercise: Roster form | Sets and Functions - JEE PDF Download

Represent the following sets using the Roster Form: 

1. P = {x : x is a natural number less than 6}

2. Q = {x : x is a letter in the word “LOYAL”}

3. R = {x : x is an odd natural number}


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The document Practice Exercise: Roster form | Sets and Functions - JEE is a part of the JEE Course Sets and Functions.
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FAQs on Practice Exercise: Roster form - Sets and Functions - JEE

1. What is the roster form in JEE?
Ans. The roster form in JEE refers to representing a set by explicitly listing all its elements within curly brackets. For example, if we have a set A = {1, 2, 3, 4}, this is the roster form of set A.
2. How is the roster form helpful in JEE?
Ans. The roster form is helpful in JEE as it allows us to clearly and concisely represent sets, making it easier to understand and work with them in various mathematical operations. It provides a systematic way of listing elements and ensures that no element is missed or repeated.
3. Can the roster form be used for infinite sets in JEE?
Ans. No, the roster form is not suitable for representing infinite sets in JEE. Since infinite sets have an infinite number of elements, it is not feasible to list them all explicitly. In such cases, other methods like set builder notation or describing the properties of the elements are used.
4. What are some examples of roster form in JEE?
Ans. Here are some examples of sets represented in roster form in JEE: - Set A = {2, 4, 6, 8, 10} - Set B = {a, e, i, o, u} - Set C = {1, 4, 9, 16, 25, 36, 49, 64, 81}
5. How can we determine if two sets are equal using the roster form in JEE?
Ans. To determine if two sets are equal using the roster form in JEE, we need to check if they have exactly the same elements. If both sets have the same elements listed in the same order, they are considered equal. However, if there is even a single element that is different between the two sets, they are not equal.
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