Question

Now, determine ALL of the number(s) that will make the statement true. Numbers may be used more than once.

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(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
___ + 5 = 0 -3 + ___ = negative number ___ - 2 = negative number
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Answer 1

Let's solve each equation step-by-step to determine the numbers that make the statements true.

1. **For the equation:**
\( __ + 5 = 0 \)
To find the number that makes this true, we can rearrange the equation:
\[ __ = 0 - 5 \]
\[ __ = -5 \]
Therefore, the number that satisfies this equation is **-5**.

2. **For the equation:**
\( -3 + __ = \) (negative number)
We want to find a number such that when added to -3, the result is negative. Let's denote the unknown number as \( x \).
\[ -3 + x < 0 \]
This can be rearranged to:
\[ x < 3 \]
So, any number less than 3 will make the equation true. Examples of valid numbers include -4, -3, -2, -1, 0, 1, or 2.

3. **For the equation:**
\( __ - 2 = \) (negative number)
Again, let's denote the unknown number as \( y \). We need to find \( y \) such that:
\[ y - 2 < 0 \]
Rearranging gives:
\[ y < 2 \]
Thus, any number less than 2 will satisfy this equation. Examples include -4, -3, -2, -1, 0, 1.

### Summary of the responses:
- For the first term, the response is **-5**.
- For the second term, the response includes any number **less than 3** (like -4, -2, etc.).
- For the third term, the response includes any number **less than 2** (like -4, -3, etc.).

You can fill in the responses based on the above findings!