Question

1. garter snake the garter snake is a common species in north america. there are various subspecies and coloration schemes depending on the geographical location. typical adult garter snakes range in length from 46 to 130 centimeters. write an absolute - value inequality that represents the range of lengths of adult garter snakes.

Explanation:

Step1: Let \(x\) be the length of an adult garter - snake.

Let \(x\) be the variable representing the length.

Step2: Find the mid - point of the length range.

The mid - point \(a=\frac{46 + 130}{2}=\frac{176}{2}=88\).

Step3: Find the distance from the mid - point to either end of the range.

The distance \(d=130 - 88=42\).

Step4: Write the absolute - value inequality.

The absolute - value inequality is \(|x - 88|\leq42\).

Answer:

\(|x - 88|\leq42\)