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Explain why∣2x+5∣=−7 has no solutions.​

User Vladli
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1 Answer

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Absolute value represents how far you are from zero on the number line.

Examples:

  • -27 is 27 units from zero, so |-27| = 27
  • 34 is 34 units from zero, so |34| = 34

The output of an absolute value function is never negative. Negative distance does not make sense. Therefore, we have no way to reach an output of -7. This is why we have no solutions here.

User AiGuru
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