To determine which plotted points on the number lines represent numbers greater than \(-1.5\) (which is equivalent to \(-\frac{3}{2}\)), let's analyze each described point:
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Halfway between -2 and -1:
- This point is \(-1.5\), which is not greater than \(-1.5\).
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Halfway between -1 and 0:
- This point is \(-0.5\), which is greater than \(-1.5\).
-
Halfway between -3 and -2:
- This point is \(-2.5\), which is not greater than \(-1.5\).
-
At 2:
- This point is \(2\), which is greater than \(-1.5\).
-
At 0:
- This point is \(0\), which is greater than \(-1.5\).
-
1 mark to the right of -3:
- This point is \(-2\), which is not greater than \(-1.5\).
Based on the evaluations, the plotted points that are greater than \(-1.5\) are:
- Halfway between -1 and 0 (\(-0.5\))
- At 2
- At 0
Therefore, the answers are:
- A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is half-way between negative 1 and 0.
- A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is at 2.
- A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is at 0.