Which expression is true ?

Options

A. `-16gt-15`
B. `-16lt-20`
C. `-16gt1`
D. `-16lt-3`

Answer

To determine which expression is true among the given options, we will analyze each statement step by step.

### Step 1: Understand the Number Line
First, let's visualize a number line that includes negative numbers. The number line will look like this:

```
... -4 -3 -2 -1 0 1 2 3 ...
```

In this line, as we move to the right, the values increase, and as we move to the left, the values decrease.

### Step 2: Analyze Each Expression

1. **Expression 1: -16 is greater than -15**
- On the number line, -16 is to the left of -15. Therefore, -16 is actually less than -15.
- **Conclusion**: This expression is **false**.

2. **Expression 2: -16 is smaller than -20**
- On the number line, -16 is to the right of -20. Therefore, -16 is greater than -20.
- **Conclusion**: This expression is **false**.

3. **Expression 3: -16 is greater than -1**
- On the number line, -16 is to the left of -1. Therefore, -16 is less than -1.
- **Conclusion**: This expression is **false**.

4. **Expression 4: -16 is smaller than -3**
- On the number line, -16 is to the left of -3. Therefore, -16 is indeed less than -3.
- **Conclusion**: This expression is **true**.

### Step 3: Final Answer
After analyzing all the expressions, we find that the only true expression is:

**-16 is smaller than -3.**

Thus, the correct answer is **Option D**.

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