#hint if possible ( basic inequations)

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kindred gorgeBOT
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Note the following:

  1. 1 - √(x + 3) is a monotonically decreasing function with a zero at x = -2.
  2. You can prove that 1 - √(x + 1) + 3√(x + 3) is always positive.
    Then you can just use the generalized method of intervals after that.