e) \( y>-5 \)

Did you know that inequalities like \( y > -5 \) can represent regions on a graph? For this specific inequality, it's all about the area above the horizontal line drawn at \( y = -5 \). This line itself isn't included in the solution (hence the use of "greater than")—so it gets a dashed line treatment! This visualization helps to understand the relationship between different values of \( y \) and other variables in a graph. In real-life situations, inequalities can be very handy! For example, if you were measuring the height of plants, you might want to express that the height must exceed a certain value (like 5 cm). The equation \( y > -5 \) might represent the height where plants flourish or even restrictions on the depth for planting, ensuring growth conditions are met above that threshold!