Determine which number(s) make the statement true. Numbers may be used more than once.

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(3 points)
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___ + 5 = 0 -3 + ___ = negative number ___ - 2 = negative number

-5 -2 -1 1 2 3 5

1 answer

To determine which numbers make each statement true, let's analyze each equation step by step.

  1. 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.
  2. 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.
  3. 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.

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