toLet the number of trout = x
And the number of bass = y
gaming laws allow you to catch no more than 15 trout per day, no more than 10 basses per day.
So,
[tex]\begin{gathered} x\le15 \\ y\le10 \end{gathered}[/tex]And no more than 20 total fish per day
So,
[tex]x+y\le20[/tex]We will check if you can catch 11 trout and 9 bass
So, x = 11 and y = 9
So, 11 < 15
and 9 < 10
And (11+9) = 20
so, the answer of the question will be Yes
Because 11 trout and 9 basses are achieving the previous inequalitues.