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 examine each statement one by one:

1. **2 is less than 2 12.**
- This statement is **False**. The number "2 12" represents the mixed number 2 + 12/1, which simplifies to 14. So, 2 is not less than 14.

2. **−1.5 is greater than −1.**
- This statement is **False**. On a number line, -1.5 is to the left of -1, meaning that -1.5 is less than -1.

3. **−1 is greater than 12.**
- This statement is **False**. -1 is to the left of 12 on the number line, so -1 is less than 12.

4. **1 12 is less than 12.**
- This statement is **True**. The mixed number 1 12 simplifies to 1 + 1/12, which is approximately 1.083. This is indeed less than 12.

So, the final answers are as follows:
- 2 is less than 2 12: **False**
- −1.5 is greater than −1: **False**
- −1 is greater than 12: **False**
- 1 12 is less than 12: **True**