Help me out please?

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 15/7 < x < 13

Step-by-step explanation:

The triangle inequality requires that side lengths a, b, c satisfy ...

  a + b > c

  a + c > b

  b + c > a

These can let us write three inequalities for the side lengths given:

  6x -11 +3x -1 > 2x +3   ⇒   7x > 15

  6x -11 +2x +3 > 3x -1   ⇒   5x > 7

  3x -1 +2x +3 > 6x -11   ⇒   x < 13

The first two resolve to ...

  x > 15/7 ≈ 2.143

  x > 7/5 = 1.4

So, the final requirement is that ...

 15/7 < x < 13

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