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
.

1 answer

Let's evaluate each statement one by one:

  1. −2 is less than −2 1/2.
    This statement is False.
    \(-2\) is equal to \(-2\) and is greater than \(-2\) 1/2 (\(-2.5\)).

  2. 1.5 is greater than 1.
    This statement is True.
    \(1.5\) is indeed greater than \(1\).

  3. 1 is greater than −1/2.
    This statement is True.
    \(1\) is greater than \(-0.5\).

  4. −1 1/2 is less than −1.
    This statement is True.
    \(-1\) 1/2 (\(-1.5\)) is indeed less than \(-1\).

So, the summary of the evaluations:

  1. False
  2. True
  3. True
  4. True