The inequality is:
Cost of each item ≤ limit
Let's assume the cost of each item is represented by the variable "x" and the limit is represented by the variable "L".
Therefore, the inequality can be represented as:
x ≤ L
To graph this inequality, we will plot a horizontal line on the x-axis at the value of L. Since the cost per item cannot exceed the limit, we shade the area to the left of the line.
A point that falls in the shaded region could be (4, 10). Here, the x-coordinate represents the cost of each item, which is $4, and the y-coordinate represents the limit, which is $10. This point falling in the shaded region signifies that the cost of each item is less than or equal to the limit, which is within the acceptable range.
A point that falls directly on the line could be (8, 8). Here, the x-coordinate represents the cost of each item, which is $8, and the y-coordinate represents the limit, which is also $8. This point falling directly on the line signifies that the cost of each item is equal to the limit, which is the maximum acceptable amount.
A point that does not fall in the shaded region could be (12, 6). Here, the x-coordinate represents the cost of each item, which is $12, and the y-coordinate represents the limit, which is $6. This point falling outside of the shaded region signifies that the cost of each item exceeds the limit, which is not within the acceptable range.