JEE Exam > JEE Videos > Sets and Functions > Set Operations: Difference of Sets
Set Operations: Difference of Sets Video Lecture | Sets and Functions - JEE
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FAQs on Set Operations: Difference of Sets Video Lecture - Sets and Functions - JEE
| 1. What are set operations in JEE? |  |
Ans. Set operations in JEE refer to the various mathematical operations that can be performed on sets, such as union, intersection, and difference. These operations allow us to manipulate and combine sets to obtain new sets.
| 2. What is the difference of sets in JEE? | |
Ans. The difference of sets in JEE is an operation that allows us to find the elements that are present in one set but not in another. It is denoted by the symbol "-". For example, if we have set A = {1, 2, 3} and set B = {2, 3, 4}, then the difference of A and B (A-B) would be {1}.
| 3. How is the difference of sets calculated in JEE? | |
Ans. To calculate the difference of sets in JEE, we need to subtract the elements of one set from another. We can do this by listing all the elements of the first set and removing any elements that are also present in the second set. The remaining elements will be the difference of the two sets.
| 4. Can the difference of sets be an empty set in JEE? | |
Ans. Yes, the difference of sets can be an empty set in JEE. This occurs when all the elements of one set are also present in the other set. In such cases, there are no elements left after subtracting the common elements, resulting in an empty set as the difference.
| 5. How are set operations used in JEE exams? | |
Ans. Set operations are used in JEE exams to test a candidate's understanding of mathematical concepts related to sets. Questions may require students to perform operations like union, intersection, and difference on given sets or to solve problems using these operations. It is important for JEE aspirants to be familiar with these operations and their properties to excel in the exam.
Text Transcript from Video
in this video we will discuss difference
of sets let a and B be any two sets the
difference of the sets a and B in this
order is the set of elements which
belong to a but not to be symbolically
we write it like this and read as a
minus B in the Venn diagram a minus B is
represented by the region that includes
a would not be similarly we can
represent the minus a in the Venn
diagram
note that a minus b and b minus a are
different regions in the Venn diagram
in the set-builder form a minus B can be
represented as shown it is read as the
set of all X such that X belongs to a
and X does not belong to B
let's see an example consider the set C
and D as shown the C minus D includes
the elements 1 & 2 since both the
elements belong to C but not D similarly
D minus e includes the elements 4 & 5 we
observe that C minus D is not equal to D
minus C
also note that the sets a minus B a
intersection B and B minus a are
mutually disjoint sets that is the
intersection of any of these two sets is
the null set
so this was about the difference of sets
for more such videos please subscribe to
this channel if you haven't yet we will
meet in the next video
of sets let a and B be any two sets the
difference of the sets a and B in this
order is the set of elements which
belong to a but not to be symbolically
we write it like this and read as a
minus B in the Venn diagram a minus B is
represented by the region that includes
a would not be similarly we can
represent the minus a in the Venn
diagram
note that a minus b and b minus a are
different regions in the Venn diagram
in the set-builder form a minus B can be
represented as shown it is read as the
set of all X such that X belongs to a
and X does not belong to B
let's see an example consider the set C
and D as shown the C minus D includes
the elements 1 & 2 since both the
elements belong to C but not D similarly
D minus e includes the elements 4 & 5 we
observe that C minus D is not equal to D
minus C
also note that the sets a minus B a
intersection B and B minus a are
mutually disjoint sets that is the
intersection of any of these two sets is
the null set
so this was about the difference of sets
for more such videos please subscribe to
this channel if you haven't yet we will
meet in the next video
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About this Video
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Dec 25, 2024 Last updated |
Video Description: Set Operations: Difference of Sets for JEE 2024 is part of Sets and Functions preparation.
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