Download The set of integers (1) The set of natural numbers : N = { 0, 1 ,2, 3

The set of integers
Z
N
Z-
-3 -2 -1 0 1 2 3
Zero is neither positive nor negative.
(1) The set of natural numbers :
N = { 0, 1 ,2, 3,---------}
(2) The set of counting numbers :
{ 1, 2 ,3 , 4 , ------------}
(3) The set of integers Z :
Z = { ----- -3, -2, -1, 0, 1, 2, 3 , -------}
(4) Z+ = { 1, 2, 3, 4, -------}
(5) Z- = { -1, -2, -3, -4, --------}
(6) Zero is neither positive nor negative .
(7) The set of integers is an infinite set .
(8) Z = Z+ U {0} U Z-
Z+
 Complete :
(1) The number -------- is neither positive nor negative.
(2) The greatest negative integer is --------- .
(3) The smallest positive integer is --------- .
(4) The smallest non negative integer is --------- .
(5) The greatest non positive integer is --------- .
Write each of the following sets :
(1) The set of integers greater than - 2
A = { -1, 0, 1, 2, ------- }
(2) The set of integers greater than -8 but less than -4
X = { -7, -6, -5 }
(3) The set of integers between -5 and 1
A = { -4, -3, -2, -1, 0 }
(4) The set of even integers
Y = { -----,-4, -2, 0, 2, 4, ------ }
(5) The set of negative integers
B = { -1, -2, -3, -4, ----- }
(6) The set of non negative integers
X = { 0, 1, 2, 3, 4, ------ }
(7) The set of non positive integers
B = { 0, -1, -2, -3, ------ }
 Put ∈ , ∉ , ʗ, Ȼ
Element ∈, ∉ Set
Set ʗ , Ȼ Set
(1) Zero --- Z-
(2) {7} ----- { 6, 7 }
(3) 3 ------ { 5, 3, 2, 6 }
(4) { 1, 5 } ------ {0, 5, 9 }
(5) Ø ------- { 1, 2, 3 }
 Complete :
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
Z∩N=N
Z+ ∩ Z- = Ø
Z – N = ZZ – Z- = N
Z+ U {0} = N
N U Z- = Z
ZUN=Z
Z U Z- = Z
Z + - Z- =Ø
Z ∩ Z+ = Z+