. A clothing store has everything on sale for between 10% and 40% off. This can be represented by the system of inequalities shown below, where y is the amount of discount and x is the cost of the clothing item.

where's the rest of the problem?

To represent the range of discounts, we can set up a system of inequalities using the given information.

Let's consider the discount percentage as 'y' and the cost of the clothing item as 'x'.

1) The lowest discount is 10% off, so we can write the inequality as:
y ≥ 10

2) The highest discount is 40% off, so we can write the inequality as:
y ≤ 40

Combining these two inequalities, we get:
10 ≤ y ≤ 40

This system of inequalities represents that the discount 'y' should be between 10% and 40% off.