To determine which numbers make each statement true, let's analyze each equation step by step.
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For the first equation: ___ + 5 = 0
- We can rewrite this as: \[ x + 5 = 0 \]
- To solve for \( x \), subtract 5 from both sides: \[ x = -5 \]
- So, the answer is -5.
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For the second equation: -3 + ___ = negative number
- We can represent the unknown as \( x \): \[ -3 + x < 0 \]
- Rearranging gives: \[ x < 3 \]
- So, any number less than 3 will satisfy this condition. Valid options from the list are -5, -2, -1.
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For the third equation: ___ - 2 = negative number
- Again, representing the unknown as \( y \): \[ y - 2 < 0 \]
- Rearranging gives: \[ y < 2 \]
- Valid options from the list that satisfy this condition are -5, -2, -1.
To summarize the answers:
- For the first blank: -5
- For the second blank: -5, -2, -1
- For the third blank: -5, -2, -1
You can select responses according to this analysis and populate the blanks accordingly.