2. Prayer
Before Study
Lord, true source of light and wisdom, give me
a keen sense of understanding, a retentive
memory and a capacity to grasp things
correctly.
Grant me the grace to be accurate in my
exposition and the skill to express myself with
thoroughness and clarity.
Be with me at the start of my work, guide its
progress and bring it to completion.
Grant this through Christ, our Lord. Amen.
RMAN
3. Remembering
RMAN
The intersection of two sets are those elements that
belong to both sets.
Thus, the intersection of sets A and B , written as A ∩𝑩, is
a set of elements that are member of both A and B.
The union of two sets are all the elements from both sets.
Thus, the union of sets A and B, written as A ∪𝑩, is the set
of The elements that are members of A,or members of B
,or members of
both A and B.
4. Engage yourself
Suppose you go to store to purchase a new laptop and tell a computer
salesperson that you wish to purchase a laptop with a 14-inch display and 4
GB of memory. The salesperson was a bit distracted and thought you said you
wanted to purchase a laptop with a 14-inch display or 4 GB of memory. Which
laptops are in the set of laptops with a 14-inch display and 4 GB of memory?
Which laptops are in the set of laptops with a 14-inch display or 4 GB of
memory? These two questions are quite different. The first involves laptops
joined by the word and. The second involves laptops joined by the word or.
In this section, you will learn how to illustrate these and other set relationships.
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Use Venn diagram to represent sets,
subsets and set operations
Lesson 1.3
5. Let’s dig deeper
The universal set, or simply the universe, denoted by U,
contains all the elements being considered in a given
situation.
What are Venn diagrams?
Pictorial representations of sets represented by closed figures
are called set diagrams or Venn diagrams.
We can express the relationship among sets through this in a
more significant way.
In this, A rectangle
RMAN
is used to represent a universal set.
U
Circles or ovals are used to represent other subsets of the
universal set.
A
This shows that every
element of A is in the
universal set
6. Venn diagrams in different situations
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If a set A is a subset of set B,
then the circle representing set A is drawn inside the circle representing set B.
U
A
B
7. RMAN
If set A and set B have some elements in common,
then to represent them, we draw two circles which are overlapping
U
A B
8. RMAN
If set A and set B are disjoint, then they are represented by two non- intersecting circles.
U
A B
