"When 3 is substracted" can be written as minus 3
"One third of a number" can be written as [tex] \frac{1}{3} n[/tex]
"The result is less than 6" can be written as < 6
Therefore we put them up together, the inequality will be
[tex] \frac{1}{3}n-3\ \textless \ 6 [/tex]
Solve for the value of n
[tex]\frac{1}{3}n-3\ \textless \ 6[/tex]
add both side with 3
[tex]\frac{1}{3}n-3+3\ \textless \ 6+3[/tex]
[tex]\frac{1}{3}n\ \textless \ 9[/tex]
multiply both side by 3
[tex]$3\times\ \frac{1}{3}n\ \ \textless \ 3 \times\ 9$[/tex]
n < 27
The correct answer is first option
[tex]\boxed{\boxed{ \frac{1}{3}n-3\ \textless \ 6;n\ \textless \ 27 }}[/tex]
