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

Question

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(3 points)
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___ + 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!