Question

|x-7|44 = 3|11| (means a fraction sign) What value of x makes the following proportion true?

Answer 1

To solve the proportion, consider both the positive and negative cases for |x-7| and find the values of x that satisfy the equation.

Step-by-step explanation:

To solve the proportion, we need to find the value of x that satisfies the equation. Here are the steps:

1. We have |x-7|/44 = 3/11.
2. First, we can remove the absolute value by considering both the positive and negative cases for |x-7|.
3. Case 1: x-7 = 3.
4. Solving for x, we get x = 10.
5. Case 2: x-7 = -3.
6. Solving for x, we get x = 4.
7. Therefore, the values of x that make the proportion true are x = 10 and x = 4.