On a number line, which of the
following is the greatest distance?
The distance between -3 and 0 .
The distance between -1 and 2 .
The distance between -2 and 2 .

Question

On a number line, which of the following is the greatest distance? The distance between -3 and 0 . The distance between -1 and 2 . The distance between -2 and 2 .

UpStudy AI · Accepted Answer

To determine which pair of points has the greatest distance on the number line, we'll calculate the distance between each pair:

1. **Distance between -3 and 0:**
   $$
   \text{Distance} = |0 - (-3)| = |3| = 3
   $$

2. **Distance between -1 and 2:**
   $$
   \text{Distance} = |2 - (-1)| = |3| = 3
   $$

3. **Distance between -2 and 2:**
   $$
   \text{Distance} = |2 - (-2)| = |4| = 4
   $$

Comparing the distances:
- The first pair has a distance of **3**.
- The second pair also has a distance of **3**.
- The third pair has a distance of **4**.

**Conclusion:**
The greatest distance is between **-2 and 2**, with a distance of **4** units.

**Answer:**  
The distance between –2 and 2 is the greatest among the given options.
The greatest distance is between -2 and 2.

On a number line, which of the
following is the greatest distance?
The distance between -3 and 0 .
The distance between -1 and 2 .
The distance between -2 and 2 .

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