Question

In which of the number lines does the plotted point represent a number greater than Negative 1 and one-half? Check all that apply.
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 2 and negative 1.
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 half-way between negative 3 and negative 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 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.
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 1 mark to the right of negative 3.

Answers

GPT-4o mini
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:

1. **Halfway between -2 and -1:**
- This point is \(-1.5\), which is **not** greater than \(-1.5\).

2. **Halfway between -1 and 0:**
- This point is \(-0.5\), which is greater than \(-1.5\).

3. **Halfway between -3 and -2:**
- This point is \(-2.5\), which is **not** greater than \(-1.5\).

4. **At 2:**
- This point is \(2\), which is greater than \(-1.5\).

5. **At 0:**
- This point is \(0\), which is greater than \(-1.5\).

6. **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.

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