Question

Which inequality is true? Use the number line to help.

A number line going from negative 5 to positive 3 in increments of 1.

1.5 greater-than 2 and one-half
One-half greater-than 0.5
Negative 2.5 greater-than negative 1.5
Negative 3 and one-half greater-than negative 4.5

Answer 1

Let's analyze each inequality based on the number line provided:

1. **1.5 greater than 2 and one-half**:
- 2 and one-half is equivalent to 2.5.
- Since 1.5 is less than 2.5, this inequality is false.

2. **One-half greater than 0.5**:
- One-half is equivalent to 0.5.
- Since 0.5 is not greater than itself, this inequality is false.

3. **Negative 2.5 greater than negative 1.5**:
- On a number line, -2.5 is to the left of -1.5.
- Therefore, -2.5 is less than -1.5, making this inequality false.

4. **Negative 3 and one-half greater than negative 4.5**:
- Negative 3.5 (-3.5) is to the right of negative 4.5 (-4.5) on the number line.
- Therefore, -3.5 is greater than -4.5, making this inequality true.

The only **true inequality** is:
**Negative 3 and one-half greater than negative 4.5.**