Transcript INEQUALITIES

Madania Secondary School
Grade 7 Mathematics Worksheet
Name: ________________________________
Class: 7_ Date: __________
Terms in Sets and Venn Diagram
WHAT’S A SET?
A set is a well-defined collection of any kind of objects:
people, ideas, plants, numbers, responses, etc.
e.g.
1. M is a set of Math teachers at SMP Madania.
2. P is a set of prime numbers less than 10.
1112-S1-G7-MA-WS-W18-TYS-LBR-111129-Terms in Sets and Venn diagram
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NOTATION FOR SETS
A. LISTING THE ELEMENTS
1. M is the set Math teachers at SMP Madania.
M = {_____, _____, _____, _____}
2. P is the set of whole numbers less than 4.
P = {__, __, __, __}
B. WRITING THE PROPERTY CHARACTERIZING THE ELEMENTS
1. M is the set Math teachers at SMP Madania.
__ = {x|x _______________________________________}
2. P is the set of whole numbers less than 4.
__ = {x|x ________________________________}
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WHAT’S A VENN DIAGRAM?
A Venn diagram is a diagram where sets are represented
as simple geometric figures, with overlapping and
similarity of sets represented by intersections and
unions of the figures.
What does this Venn diagram represent?

___
●__
●__
●__
B
A
●__
●__
●__
●__
●__
●__
A = The set of multiples of 3
between 0 and 10.
→ A = {__, __, __}
B = The set of even numbers
between 0 and 10.
→ B = {__, __, __, __}
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What do the symbols mean?
The set of all individuals in which you are
interested is called the universe .
UNIVERSE

U = {__, __, __, __, __, __, __, __, __}

___
●__
●__
●__
B
A
●__
●__
●__
●__
●__
●__
A = The set of multiples of 3
between 0 and 10.
→ A = {__, __, __}
B = The set of even numbers
between 0 and 10.
→ B = {__, __, __, __}
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What do the symbols mean?
ELEMENT
The objects belonging to a set are
called its members or elements.
&
NOT ELEMENT
__  __ __  __
 __
B
A
●__
●__
●__
●__
●__
●__
__

__
__

__
A = The set of multiples of 3
from 2 until 7.
→ A = {__, __}
B = The set of even numbers
from 2 until 7.
→ B = {__, __, __}
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What do the symbols mean?
COMPLEMENT
~A = {__, __, __, __, __}

The complement of a set A is the set of
all those elements of the universal set
which are not in A.
~B = {__, __, __, __, __}

__
B
A
B
A
●__
●__
●__
●__
●__
●__
__
●__
●__
●__
A is the set of odd numbers
between 2 and 8.
●__
●__
●__
●__
●__
●__
●__
B is the set of odd numbers
from 5 until 10.
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What do the symbols mean?
DIFFERENCE
A - B = {__, __}

__
B - A = {__}

__
B
A
●__
●__
The difference of A and B means the
elements which belong A to but not to B.
●__
●__
A is the set of whole
numbers less than 3.
B
A
●__
●__
●__
●__
B is the set of natural
numbers between 1 & 4.
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What do the symbols mean?
INTERSECTION
AB

The intersection of two sets A and B is
the set whose elements are common to
both A and B.
= {__}
__
B
A
●__
●__
●__
●__
A is the set of prime
numbers less than 7.
B is the set of prime
numbers less than 10 but
greater than 4.
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What do the symbols mean?
The union of two sets A and B is the set
which contains all the elements of A and
all the elements of B (and hence all the
elements which are in both A and B).
UNION
AB

= {____________}
__
A
B
A is the set of whole
numbers less than 6.
B is the set of prime
numbers less than 10 but
greater than 4.
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What do the symbols mean?
SUBSET
Set A is called a subset of set B if all
the elements of A are inside set B.
AB

__
B
A
A = The set of multiples of 4
between 0 and 10.
B = The set of even numbers
between 0 and 10.
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What do the symbols mean?
DISJOINT SETS
&
NULL/EMPTY SET
Ø
C // D

C
If C and D have no common elements, that is,
their intersection is the null set/empty set:
C  D = Ø,
then they are said to be disjoint sets.
C = _________________________
__
D
______________________.
D = _________________________
______________________.
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What do the symbols mean?
EQUAL SETS
Two sets E and F are said to be equal if
they contain exactly the same members.
E=F

E = _________________________
__
F
E
______________________.
F = _________________________
______________________.
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What do the symbols mean?
EQUIVALENT SETS
X is equivalent with Y if the number of
elements in set X is the same as the
number of elements in Y.
X~Y

X
__
Y
X = _________________________
______________________.
Y = _________________________
______________________.
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EQUIVALENT SETS
vs
EQUAL SETS
If X ___ Y, then for sure X ___ Y.
If X ___ Y then it is possible that X ___ Y
PRESENTING
THE NUMBER OF ELEMENTS
IN A SET
e.g. A = {cat, dog, bird, fish, iguana, rabbit}
There are __ elements in set A,
then it written as:
__(__) = ___
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