1. SET AND LOGIC
Devi Fitri Noviyanti (1241172105009)
Ela Widianingsih (1241172105008)
2. DEFINITION SETS
Set is a collection of objects or
different objects and can be clearly
defined.
The individual objects in a set are
called elements.
3. NOTATION
There is a fairly simple notation
for sets. You simply list each
element, separated by a comma,
and then put some curly brackets
around the whole thing.
The curly brackets { } are
sometimes called "set brackets" or
"braces".
4. FORMS OF SET
1. Roster Form
In this we define a set by actually listing its
elements.
example :
set A is letters of the English alphabet
A={a,b,c,……….,z}
5. 2. Set-Builder Form
In this form,set is defined by stating
properties which the statements of the
set must satisfy.We use braces { } to
write set in this form.
The brace on the left is followed by a
lower case italic letter that represents
any element of the given set.
This letter is followed by a vertical bar
and the brace on the left and the brace
on the right.
6. Symbollically, it is of the form {x|- }.
Here we write the condition for which x
satisfies,or more briefly, { x |p(x)},where p(x) is
a preposition stating the condition for x.
The vertical is a symbol for ‘such that’ and the
symbolic form
A={ x | x is even } reads
“A is the set of numbers x such that x is
even.”
Sometimes a colon: or semicolon ; is also used in place of
the vertical bar
7. NUMERICAL SETS
Example :
1. A is set of natural number
A ={1,2,3,4,5,...}
2. B is set of integers
B ={...., -2, -1,0,1,2,....}
3. C set of prime number
C = { 2,3,4,7,11,13,...}
8. 4. D is set of whole number
D = {0,1,2,3,4,5,...}
5. E is set of even number
E = { 2,4,6,8,10,12,...}
6. F is set of odd number
F = {1,3,5,7,9,11,13,...}
