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

Question

(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