Question

Determine if the statements are true or false. You can use the number line to assist you.



(4 points)
True False
2
is less than 2 12
.


−1.5
is greater than −1
.


−1
is greater than 12
.


1 12
is less than 12
.

Answer 1

Let's evaluate each statement:

1. **2 is less than 2 12.**
- \( 2 12 \) (which can be interpreted as \( 2 + \frac{1}{2} \) or \( 2.5 \)) is greater than 2.
- **False**

2. **−1.5 is greater than −1.**
- On the number line, -1 is to the right of -1.5, meaning -1 is actually greater.
- **False**

3. **−1 is greater than 12.**
- On the number line, -1 is to the left of 12, meaning -1 is actually less than 12.
- **False**

4. **1 12 is less than 12.**
- \( 1 12 \) can be interpreted as \( 1 + \frac{1}{12} \), which is approximately \( 1.0833 \). This is indeed less than 12.
- **True**

Here are the evaluations summarized:
- Statement 1: **False**
- Statement 2: **False**
- Statement 3: **False**
- Statement 4: **True**