LESSON 2

Question 1

the analogue of an English
sentence; it is a correct arrangement of mathematical
symbols that states a complete thought.

Answer 1

MATHEMATICAL SENTENCES

Question 2

Sentences can be true or false. The notion of “truth”
(i.e., the property of being true or false)

Answer 2

TRUTH OF SENTENCES

Question 3

Mathematics also has its convention, which
help readers distinguish between different types of
mathematical expression.

Answer 3

CONVENTIONS IN LANGUAGE

Question 4

the mathematical analogue of an
English noun; it is a correct arrangement of
mathematical symbols used to represent a
mathematical object of interest.

Answer 4

EXPRESSION

Question 5

An expression does_____ state a complete thought; in
particular, it does not make sense to ask if an
expression is true or false.

Answer 5

NOT

Question 6

some commonly used
symbols, its meaning and an example

Answer 6

CONVENTIONS IN MATHEMATICS

Question 7

Use of the word _____ as a formal mathematical term
was introduced in 1879 by Georg Cantor.

Answer 7

SET

Question 8

Use of the word “set” as a formal mathematical term
was introduced in __________

Answer 8

1879 BY GEORG CANTOR

Question 9

is a collection of well-defined objects.

Answer 9

SET

Question 10

set that contains only one element.

Illustration:
A = { 1 }; B = { c }; C = { banana }

Answer 10

UNIT SET

Question 11

a set that has no element.

Illustration:
A = { }

Answer 11

EMPTY SET OR NULL SET

Question 12

a set that the elements in a given set is
countable.

Illustration:
A = { 1, 2, 3, 4, 5, 6 }
B = { a, b, c, d }

Answer 12

FINITE SET

Question 13

a set that elements in a given set has
no end or not countable.

Illustration:
A set of counting numbers
A = { …-2, -1, 0, 1, 2, 3, 4, … }

Answer 13

INFINITE SET

Question 14

are numbers that used to measure the
number of
elements in a given set. It is just similar in counting the
total number of element in a set.

Illustration:
A = { 2, 4, 6, 8 } n = 4
B = { a, c, e } n = 3

Answer 14

CARDINAL NUMBER

Question 15

Two sets, say A and B, are said to be equal if and only if
they have
equal number of cardinality and the element/s are
identical. There is a 1 -1 correspondence.

Illustration:
A = { 1, 2, 3, 4, 5} B = { 3, 5, 2, 4, 1}

Answer 15

EQUAL SET

Question 16

Two sets, say A and B, are said to be equivalent if and
only if they
have the exact number of element. There is a 1 – 1
correspondence.

Illustration:
A = { 1, 2, 3, 4, 5 } B = { a, b, c, d, e }

Answer 16

EQUIVALENT SET

Question 17

is the set of all elements under
discussion.

Illustration:
A set of an English alphabet
U = {a, b, c, d, …, z}

Answer 17

UNIVERSAL SET

Question 18

Two sets, say A and B, are said to be________ if and
only if they
have common element/s.

Illustration:
A = { 1, 2, 3}B = { 2, 4, 6 }

Here, sets A and B are joint set since they have
common element
such as 2.

Answer 18

JOINT SETS

Question 19

Two sets, say A and B, are said to be_______ if and
only if they are mutually exclusive or if they don’t have
common element/s.

Illustration:
A = { 1, 2, 3}B = { 4, 6, 8 }

Answer 19

DISJOINT SET

Question 20

It is done by listing or tabulating the elements of the
set.

Answer 20

ROASTER OR TABULATION METHOD

Question 21

It is done by stating or describing the common
characteristics of the elements of the set. We use the
notation A = { x / x … }

Illustration:
a. A = { 1, 2, 3, 4, 5 }
A = {x | x is a counting number from 1 to 5}
A = { x | x  N, x < 6}
b. B = { a, b, c, d, …, z }
B = {x | x  English alphabet}
B = { x | x is an English alphabet}

Answer 21

RULER OR SET-BUILDER METHOD