Chapter 2 Problem set

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Problem Set.

• Is {2,2,3,1,5,6,8} a set ?

• Is (1,5,6,8,3,2) a set ?

• Is "Set of Prime Even Numbers" a set ?

• If Order of a set is ' 4 ' then number of its Proper subsets is ?

• If B is a proper subset of A then , n ( B-A ) = ?

• If A and B are Overlapping then , n ( A - B ) = ?

• If p is true and q is false then (p-->q)^(~q<-->p) = ?

• ~p\/~q is equivalent to what in Set Theory ?

• Inverse of a line is ___.

• Inverse of {(2,3),(0,-1),(-2,0),...} is  ?

• If 'x' represents Multiplication , then what will be 3x6 in Residue classes Modulo 7 ?

• If '+' represent addition the what will be 2+2 in residue classes modulo 4 ?

• Set of Natural Numbers under addition is ?

• Set of Real Numbers Under addition is ?

• Set of Whole numbers Under Multiplication is ?

• Set of Even numbers under addition is ?

***Solution Set.***

• No.(Repeating not allowed)
• No.(Just Flower Brackets are allowed)
• Yes.(Set will be {2})
• 15.
•  .
• n(A)-n(A^B).('^' is for Intersection)
• False.
• P' U Q'.
• A Line.
• {(3,2),(-1,0),(0.-2),....}.
• 4.
•  .
• Semi-Group.
• Abelian-Group.
• Monoid.
• Monoid.