Question 1170680
Let's break down this problem step by step.

**1. Define the Variable**

Let 'x' represent the actual percentage of voters favoring the candidate.

**2. Write the Absolute Value Inequality**

The margin of error (4%) means the actual percentage could be 4% higher or 4% lower than the poll result (48%). This can be represented as:

|x - 48| ≤ 4

**3. Solve the Absolute Value Inequality**

To solve the absolute value inequality, we need to consider two cases:

* **Case 1:** x - 48 ≤ 4
   * Add 48 to both sides:
     * x ≤ 52

* **Case 2:** -(x - 48) ≤ 4
   * Multiply both sides by -1 (and reverse the inequality sign):
     * x - 48 ≥ -4
   * Add 48 to both sides:
     * x ≥ 44

**4. State the Range of Candidate's Support**

Combining the two cases, we get:

44 ≤ x ≤ 52

**Therefore:**

* **Absolute Value Inequality:** |x - 48| ≤ 4
* **Range of Candidate's Support:** The candidate is favored by between 44% and 52% of the voters.