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Practice Exercise: Empty Sets | Sets and Functions - JEE PDF Download

State which of the following sets are empty sets: 

1. {x : x is an even prime number}

2. {x : 1 < x < 2, x is a natural number}

3. { x : x is a natural numbers, x < 5 and x > 7 }

4. { y : y is a point common to any two parallel lines}


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

1. What is an empty set in JEE?
Ans. An empty set in JEE refers to a set that does not contain any elements. It is denoted by the symbol Ø or {}.
2. How is the concept of empty sets relevant to JEE?
Ans. The concept of empty sets is relevant to JEE as it is a fundamental concept in set theory, which is an important topic in mathematics that is covered in the JEE exam. Understanding empty sets is crucial in solving problems related to set operations, functions, and relations.
3. Can an empty set be a subset of any set?
Ans. Yes, an empty set is considered to be a subset of any set, including itself. This is because every element in the empty set is also an element of any other set. So, the empty set is a subset of all sets.
4. How can we determine if a set is empty or not in JEE?
Ans. To determine if a set is empty or not in JEE, we can check if the set contains any elements. If the set has no elements, it is considered to be an empty set. For example, if a set is given as { }, it is empty as it does not contain any elements.
5. Are there any operations that can be performed on empty sets in JEE?
Ans. Yes, there are operations that can be performed on empty sets in JEE. For example, the union of an empty set with any set A is simply set A itself. Similarly, the intersection of an empty set with any set A is also an empty set. These operations follow the properties of set theory and are used in solving problems related to sets in JEE.
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