For this case we have the following inequality:
[tex]2-3y> 1[/tex]
We solve by following the steps below:
We subtract 2 from both sides of the inequality:
[tex]-3y> 1-2[/tex]
Different signs are subtracted and the sign of the major is placed:
[tex]-3y> -1[/tex]
We divide between 3 on both sides of the inequality:
[tex]-y>\frac {-1} {3}\\-y> - \frac {1} {3}[/tex]
We multiply by -1 on both sides taking into account that the sense of inequality changes:
[tex]y<\frac {1} {3}[/tex]
ANswer:
The solution is: [tex]y <\frac {1} {3}[/tex]
