<h2>
Answer:</h2>
The constraint which represent a thriving population of penguins at the zoo is:
0 < x ≤ 10 and 0 < y ≤ 20.
<h2>
Step-by-step explanation:</h2>
Let x = the number of female penguins and y = the number of male penguins.
Now, it is given that:
The group needs two times more males than females to thrive, and the zoo only has room for 10 female penguins.
This means that:
0 < x ≤ 10
( Because there are no room for more than 10 penguins )
Also,
y= 2x
Since,
x>0
This means that: 2x>0
i.e. y>0
and x ≤ 10
i.e. 2x ≤ 20
i.e. y ≤ 20
Hence, the constraints which represent a thriving population of penguins at the zoo is:
0 < x ≤ 10 and 0 < y ≤ 20.
