Math 9 - All About Sets

1. The objects involved in a set are called _________.




2. Sets are denoted by __________.




3. Elements of sets are denoted by __________.




4. The presence of an element in a set is denoted by ___.




5. Two methods of presenting a set are discriptive and _________ method.




6. Set of first five positive integers is a ________ method of representing a set.




7. A set having no element is called _______.




8. A ________ set is represented by { }.




9. If number of elements in a set is finite then the set is called ________.




10. A set which is not finite is called _______.




11. __________ is a subset of every set.




12. If A and B are two sets and every element of set A is an element of the set B then set is called ____ of set B.




13. Every set is a _______ of itself.




14. If A and B are two sets and every element of set A is also an element of set B but at least one element of set B is not an element of set A then set A is called a __________ set of B.




15. Every set is a subset of itself but not a _______.




16. If A and B are two sets and set is a subset of set B but there is no element of set B which is not present in set A then A is called ____________ subset of set B.




17. All the subsets of a set except the set itself are ___________.




18. Every set is ___________ of itself.




19. There is no proper subset of _______.




20. There is/are ________ proper subsets of single tonset.




21. If A is any set containing of all the subsets of the set A is called ___________.




22. If every element of set A is also an element of set B then and every element of a set B is also an element of a set A i.e.both the sets have the same elements then the set A and the set B are called _________.




23. The symbol used for union of two sets is "U".




24. A U B=B U A this commutative property holds in ________.




25. The symbol used for intersection is __.




26. A n B=B n A shows commotative property in _________.




27. If A and B are two sets then their difference is given by _____.




28. A set consisting of all the elements of sets under construction is called ________.




29. A universal set is denoted by ___________.




30. If U is a universl set A is a subset of U, then U - A is called ___________




31. If number of elements in two sets is equal then they are called ___________.




32. If A and B are two sets then to see that the given two sets are equivalent or not every element of set is associated with __ element of set B.




33. If A and B are any two sets with no element common in these sets i.e. A n B=[ ] then set A and B are called ________.




34. Set of natural numbers:




35. Set of integers:




36. Set of Prime numbers:




37. Set of odd numbers:




38. Set of even numbers:




39. Set of whole numbers:




40. Set of rational numbers:




41. Set of irrational numbers




42. Set of real numbers:




43. A set can also be described by another way called _________-.




44. If A, B, C are any three sets then (A U B) UC = A U (B U C) is called




45. If A, B, C, are any three sets then (A n B) n C = A(BnC) is called _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ .




46. If A, B, C, are any three sets then AU(BnC)=(AUB)n(AUC) is called _ _ _ _ _ _ _ _ _ .




47. _ _ _ _ _ _ _ means a pairs of two numbers in which the sequence of these numbers is maintained.




48. _ _ _ _ _ _ _ of any set can be written in any sequence.




49. There is a clear difference between an orderd and _ _ _ _ _ _ _ _ .




50. If A and B are two non-empty sets, then every subset R of set AxB is called _ _ _ _ _ _ .




51. Binary relations of A x B and B x A is _ _ _ _ _ _ _ .




52. If the number of elements in set A is M and in set B, is N then number of binary relation in AxB will be_ _ _ _ .




53. If set R is a binary relation then the set consisting of first elements of all the orered pairs of R is called _ _ _ _ .




54. The set consisting of second elements of all the odered pairs of R is called _ _ _ _ _ _ .




55. N = [1, 2, 3, 4, ..........]




56. W = [0, 1, 2, 3, 4, ..................]




57. Z = [.........-3, -2, -1, 0, 1, 2, 3, 4, 5, ..........]




58. P = [2, 3, 5, 7, 11, ...]




59. O = [1, 3, 5, 7, 9, .........]




60. E = [2, 4, 6, 8, ...........]




61. The union of two sets A and B is a set consisting of all the elements of set A and B.


62. A U B=[1, 2, 3, 5, 7, 9, 11]
B U A=[1, 2, 3, 5, 7, 9, 11] shows




63. The intersection of two sets A and B is a set consisting of all the common elements of set A and set B


64. A n B=[-2, 0, 3]
B n A=[-2, 0, 3] shows




65. Difference of two sets is equal to?




66. A - B contains all the elements of a set A which are not present in set B


67. If A = [2, 3, 4, 5] and B=[3, 5, 11, 15] then A - B is equal to




68. If A is a proper subset of B (A(B)] then A - B=




69. How a universal set is denoted:




70. If some students of class X are under consideration then a set consisting of all students of class X shall be a _ _ _ _ _ _ _ .




71. If there is some problem under consideration about all the students of a school then :




72. If U is a universal set and set A is a subset of U, then U - A is called :




73. Q




74. R = Q U Q'




75. Writing a set in the form of [1, 2, 3, 4, 5,] is called _ _ _ _ _ _ _ _ .




76. If A, B and C are three sets then AU(BnC)=(AUB)n(AUC) is called distributive property of _ _ _ _ _ over _ _ _ _ _ _ .




77. Two methods of presenting a set are _______ and tabular method.




78. If a set contains k elements then P(A) will contain




79. If number of elements in A are 3 and in set B is 4 then number of elements in A x B are



80. If f is a function from set A to set B such that then



81. If N= set of Natural numbers P= Set of Prime Numbers then N n P is




82. If A={1,3,5,7} and B= {2,3,5,7,11} then B-A is



83. If (3, y+1) = (3,-1) then value of y will be 2



84. The ordinate of any point on X-axis is always



85. If A contains 6 elements and B has 7 elements then the number of all possible binary relations are



86. If A= {x?xeP and xis smaller than 23} then tabular form of A is




87. The range of f = {(a,x), (b,y), (c,y),(d,t)} is




88. If U= {1,2,3,4,5,�..10}
A= {2,4,6,8,10}
B= {3,6,9} then (AUB)c is




89. If U= {1,2,3, ........10}
A= {2,3,5,7} , B= {1,3,5,7,9} then (AnB)c is




90. If A?B then AUB is




91. If X ? Y then X n Y is?




92. If A = {1,2,3,} B= {a,b,c} and f= {(1,a), (1,b) (2,c), (3,b)} then f is




93. If B={y?yeE2 is smaller than y and is smaller than 4} then tabular form of B is




94. If AnB = ? then




95. If A is any set then A-Ac




96. An(BUC) = (AnB) U (AnC) is called




97. If E= set of Even numbers
O= set of odd numbers then EnO is




98. The set of first five positive integers is a tabular method of presenting a set.


99. The presence of an element in a set is denoted by the symbol


100. Set of integer is an infinite set.


101. If A and B are any two sets and A is not a subset of B, is denoted as A�B.


102. Every set is a subset and proper subset of itself.


103. The union of two sets A and B is a set consisting of all the elements of set A and set B.


104. If A is a subset of given universal set �U� then A U Ac=F


105. A - B is a set that consists of all the elements of a set A, which are present in set B.


106. If A ={x,y,z}, B={2,3,4} then set A and set B are called equivalent sets.


107. If A ={2,3,5,7,11}, then the set builder notation of set A is {x?x?P^2 smaller than x smaller than 11}.


108. If A ={o,1,2,3,..........}, B={1,2,3,.........} then A-B={0}


109. If U=N, A= F then Ac= F


110. Orders pair means a pair of two numbers in which the sequence of these numbers is maintained.


111. The elements �a� and �b� of an order pair (a,b) are called the coordinates of the point P.


112. The point (-3, -4) lies in fourth quadrant.


113. If set R is a binary relation, then the set consisting of second elements of all the ordered pairs of R is called the domain of R.


114. If f is a function from set A to set B that Range (f) �B, then f is called an into function from set A to B.


115. If there are five elements in a set A and three elements in a set B, the number of elements in A x B are 1028.


116. IF L={a,b,c,d} and R={(a,b), (b,c) (c,d), (a,a)} the R is a function from L on to L.


117. If the number of elements in set �A� is �n� then the number of element in P(A) is 2n.


118. If the number of elements in set X and set Y is 3 each, the number of binary relations in X � Y is 29


119. In ordered pair (2, -3) the ordinate of point is 2.


120. If D={3x/Xe W^X is smaller than 10} the descriptive form of D is {3,6,9,12,15,18,21,24,27,30}


121. A set is a collection of well defined _____________ objects.


122. The range of R={(3,4), (5,7), (8,11)} is {4,7,11}.


123. If there is no element present in a set, it is called _____________ set.


124. _________________set is a proper subset of every non-empty set.


125. There is only one proper subset of a _______________ set.


126. Every set is an improper subset of _________________.


127. The set consisting of all the subsets of a set is called ____________set.


128. If A = ?x, y, z, p} then P (A) will consist of ______________ elements.


129. Two sets A and B are said to be ___________ sets, if A is a sub set of B and B is a subset of A.


130. If A B then A B = ________________.


131. For any set A, AAc = ______________.


132. For any set x x� xc = _________________.


133. Every two equal sets are also _____________ sets.


134. If AB = ? then A and B are called ___________ sets.


135. ____________________ can be established between two equivalent sets.


136. If two sets have at least one element common in them and none of the set is the subset of the other set then the sets are called ______________ sets.


137. The union of rational and irrational numbers is called ______________Number.


138. If A, B and C are three sets then AU (BnC) = (AU B) n _______.


139. If A = {2, 4, 6, 8, 10} then set builder notation of set A is _______________________.


140. If (X �2, 3) = (- 3 , 3) the X = ____________________.


141. In (-2, 5) the abscissa is __________________.


142. If abscissa of a point is positive and ordinate of it is negative, the point will lie in ____________ quadrant.


143. Every subset of a Cartesian product is called _____________relation.


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