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 12.

    • This can be interpreted as \( -2 < -2.12 \). Since \(-2\) is not less than itself, this statement is False.
  2. 1.5 is greater than 1.

    • This statement is \( 1.5 > 1 \). Since \( 1.5 \) is greater than \( 1 \), this statement is True.
  3. 1 is greater than −12.

    • This can be written as \( 1 > -12 \). Since \( 1 \) is indeed greater than \(-12\), this statement is True.
  4. −1 12 is less than −12.

    • The expression \(-1 12\) seems ambiguous and likely means \(-1.12\) (if it were an error in writing). We can check this as \( -1.12 < -12 \). Since \(-1.12\) is greater than \(-12\), this statement is False.

To summarize:

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