Question 1199963
**a) Write the absolute value inequality**

* Let 'p' represent the true percentage of Americans who favor the legislation.
* The error is less than 2%, meaning the difference between the reported percentage (58%) and the true percentage (p) is less than or equal to 2%.

* This can be expressed as: 
    |p - 58| ≤ 2

**b) Solve the inequality for p**

* **Case 1: p - 58 ≥ 0** 
    * p - 58 ≤ 2 
    * p ≤ 60

* **Case 2: p - 58 < 0** 
    * -(p - 58) ≤ 2 
    * -p + 58 ≤ 2 
    * -p ≤ -56 
    * p ≥ 56

* **Combine the solutions:** 
    * 56 ≤ p ≤ 60

**Therefore, the true percentage (p) of Americans who favor the legislation lies within the interval [56%, 60%].**