Use the information above to write down inequalities associated with the lines represented by f and h. The feasible region is the shaded area.

$$y - 45 = -1(x - 0)$$ $$y - 45 = -x$$ $$y = -x + 45$$ $$x + y = 45$$

Since the feasible region is below or on line $f$, the inequality is $x+y \le 45$.

• Line $h$ is a horizontal line passing through point B and C. From point C $(20, 25)$, we know $y=25$. From point B, the y-coordinate is also 25. The line $h$ is $y=25$. The feasible region is below or on line $h$, so the inequality is $y \le 25$. However, the problem states "Given is the constraint $5 \le y \le 25$". This means $y \ge 5$ and $y \le 25$. Line $h$ is $y=25$. The feasible region is below or on this line. So, $y \le 25$. The line $g$ is $y=5$. The feasible region is above or on this line. So, $y \ge 5$.

The question asks for inequalities associated with lines $f$ and $h$.
The inequality for line $f$ is $\boxed{x+y \le 45}$.
The inequality for line $h$ is $\boxed{y \le 25}$.

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