A project manager estimates that a project will take x hours to complete, where x gt 100. The goal is for the estimate to be within 10 hours of the time it will actually take to complete the project. If the manager meets the goal and it takes y hours to complete the project, which of the following inequalities represents the relationship between the estimated time and the actual completion time?

Options

A. `x+y lt 10`
B. `y gt x+10`
C. `y lt x-10`
D. `-10 lt y-x lt 10`

Explanation

To solve the problem, we need to establish the relationship between the estimated time (x hours) and the actual completion time (y hours) based on the condition that the estimate should be within 10 hours of the actual time.

### Step-by-step Solution:

1. **Understanding the Problem**:
The project manager estimates that the project will take x hours. The goal is for this estimate to be within 10 hours of the actual time it takes to complete the project, which is y hours.

2. **Setting Up the Inequalities**:
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