The function f : N → Z is defined by: f ( n ) = ⎩ ⎨ ⎧ 2 , 10 − n , 0 , i f n = 3 k , k ∈ Z i f n = 3 k + 1 , k ∈ Z i f n = 3 k + 2 , k ∈ Z Then, find { n ∣ f ( n ) 2 } .

Question

The function f : N → Z is defined by: f ( n ) = ⎩ ⎨ ⎧ ​ 2 , 10 − n , 0 , ​ i f n = 3 k , k ∈ Z i f n = 3 k + 1 , k ∈ Z i f n = 3 k + 2 , k ∈ Z ​ Then, find { n ∣ f ( n ) > 2 } .

TestHub · Accepted Answer

{ n \ ( f ( n ) > 2 )} ​ = { n \10 − n > 2 , n = 3 k + 1 } = ​ { n \ n < 8 , n = 3 k + 1 } ​

Mathematics - Functions Question with Solution | TestHub

Options:

Doubts & Discussion