The set of positive integers less than 50 forming the equivalence class of 6 modulo 9 is given by : |
[6]= {6, 15, 24, 33, 42, 50} [6]= {6, 15, 24, 33, 42} [6]= {6, 15, 24, 33} [6]= {6, 15, 24} |
[6]= {6, 15, 24, 33, 42} |
The correct answer is Option (2) → [6]= {6, 15, 24, 33, 42} Using conditions mentioned above, $x≡a(mod\,n)$ $⇒x≡6(mod\,9)$ $⇒x=6+9k$ for $k=0$, $6+9(0)=6$ for $k=1$, $6+9(1)=15$ for $k=2$, $6+9(2)=24$ for $k=3$, $6+9(3)=33$ for $k=4$, $6+9(4)=42$ {6, 15, 24, 33, 42} |