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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+