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 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