I really need help writing this out An overnight delivery service accepts packages of up to 165 inches in length and girth combined. (Girth is the distance around the package.) A package has a fixed girth of 53 inches. Determine (in terms of an inequality) those lengths for which a package is acceptable.

Write your answer in the form of an inequality.

Girth + length < 165

Insert girth value and solve for length.

To determine the acceptable lengths for a package, we need to consider the maximum length and girth combined allowed by the overnight delivery service.

Let's assume the length of the package is represented by "L". According to the given information, the girth of the package is fixed at 53 inches.

Now, the combined length and girth should not exceed 165 inches. Mathematically, we can represent this as:

Length + Girth ≤ 165

Substituting the variables with their respective values, we have:

L + 53 ≤ 165

To isolate "L" on one side of the inequality, we can subtract 53 from both sides:

L + 53 - 53 ≤ 165 - 53

Simplifying the inequality:

L ≤ 112

Therefore, the acceptable lengths for a package are those that do not exceed 112 inches. In terms of an inequality, this can be written as:

L ≤ 112