The inequality y ≤ 150x - 3100 represents the maximum annual production of cranberries at CranBog in thousands of pounds,

given a certain number of acres of land that produce cranberries (x).

The equation can be used to find the maximum amount of cranberries that can be produced on a certain number of acres.

For example, if x = 10 (10 acres of land are used to produce cranberries), we can substitute this value into the inequality:

y ≤ 150(10) - 3100

y ≤ 1500 - 3100

y ≤ -1600

This means that the maximum annual production of cranberries on 10 acres of land is -1600 thousands of pounds.

This is not possible as the production is negative. Therefore, we can conclude that the inequality is not satisfied on that case.

As another example, if x = 20 (20 acres of land are used to produce cranberries), we can substitute this value into the inequality:

y ≤ 150(20) - 3100

y ≤ 3000 - 3100

y ≤ -100

This means that the maximum annual production of cranberries on 20 acres of land is -100 thousands of pounds.

This is not possible as the production is negative. Therefore, we can conclude that the inequality is not satisfied on that case.

The solution set of the inequality is the set of x-values that satisfy the inequality when plugged in.

In this case, it's the set of x such that x <= 20.5

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