Interpret the inequality −2< 1 as a statement about the relative position of −2 and 1 on a number line.(1 point)
Responses
−2 is 12 units to the right of 1.
negative 2 is 12 units to the right of 1.
−2 is 3 units to the right of 1.
negative 2 is 3 units to the right of 1.
−2 is 3 units to the left of 1.
negative 2 is 3 units to the left of 1.
−2 and 1 are both to the left of 0.
negative 2 and 1 are both to the left of 0.
−2 is 3 units to the left of 1.
−2 is 3 units to the left of 1.
(negative 2 is 3 units to the left of 1.)
The correct interpretation of the inequality −2 < 1 as a statement about the relative position of −2 and 1 on a number line is:
−2 is 3 units to the left of 1.
or
Negative 2 is 3 units to the left of 1.
To understand this, imagine a number line where 0 is in the middle. On the left side of 0, there is -1, -2, and so on. On the right side of 0, there is 1, 2, and so on.
In this case, the number -2 is to the left of 1 on the number line. Since it is 2 units away from 0, and 1 is 1 unit away from 0, the difference or distance between -2 and 1 is 3 units. Therefore, the correct response is that -2 is 3 units to the left of 1.