f(n)={[2,n=3k,,k in Z],[10-n,n=3k+1,,k in Z],[0,n=3k+2,,k in Z],[" then "{n in N:f(n)>2}=,(" EAM-O4")]

f: N rarr N is defined as f(n) = {{:(2","n=3",",k in Z),(10-n","n=3k+1",",k in Z),(0","n=3k+2",",k in Z):} then {n in N : f(n) gt 2}=

If f: N to Z is defined by: f(n) ={{:(2, if, n=3k, k in Z),(10-n, if, n=3k+1, k in Z),(0, if, n=3k, k in Z):} , then {n in N: f(n) gt 2) =

If f:N rarr N is defined as (2,n=3k.10-n,n=3k+1,10,n=3k+2,k in Z then {n in N:f(n)>2}=

A = {3k| k in N} B = {3k -1|k in N} and C = {3k-2| k in N}. Then A , B and C are disjoint sets .

Let A = { n in N | n^(2) le n + 10,000 } B = { 3k + 1 | k in N } and C = { 2 k |k in K } , then the sum of all the elements of the set A cap (B - C) is equal to ______

If Delta_(k) = |(k,1,5),(k^(2),2n +1,2n +1),(k^(3),3n^(2),3n +1)|, " then " sum_(k=1)^(n) Delta_(k) is equal to

If Delta_(k) = |(k,1,5),(k^(2),2n +1,2n +1),(k^(3),3n^(2),3n +1)|, " then " sum_(k=1)^(n) Delta_(k) is equal to

A function f from integers to integers is defined as f(n)={(n+3",",n in odd),(n//2 ",",n in even):} Suppose k in odd and f(f(f(k)))=27. Then the value of k is ________

A function f from integers to integers is defined as f(n)={(n+3",",n in odd),(n//2 ",",n in even):} Suppose k in odd and f(f(f(k)))=27. Then the value of k is ________