Amanufacturer allows a maximum of 18.5oz of cereal and a minimum of 16.25 oz of cereal per box. write an absolute value inequality that demonstrates the manufacturer’s constraints.

 |x - 17.375| ≤ 1.125

Explanation:

1) Write the constraints in form of two inequalities,  using x as variable name:

i) A maximum of 18.5 oz: x ≤ 18.5

ii) A minimum of 16.25 oz: x ≥ 16.25

2) Write as a combined inequality: 16.25 ≤ x ≤ 18.5

3) Find the midpoint between the two extremes:

(18.5 + 16.25) / 2 = 17.375

4) Subtract the midpoint from the three parts of the combined inequality:

16.25 - 17.375 ≤ x - 17.375 ≤ 18.5 - 17.375

-1.125 ≤ x - 17.375 ≤ 1.125

5) Use the property of absolute value inequality: | x - a| ≤ z ⇔ - z ≤ |x - a| ≤ z

-1.125 ≤ x - 17.375 ≤ 1.125 ⇔ |x - 17.375| ≤ 1.125

And that is the  |x - 17.375| ≤ 1.125

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

28

step-by-step explanation:

because that's the answer