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Ilya [14]
2 years ago
5

Help me out please???

Mathematics
1 answer:
almond37 [142]2 years ago
3 0

9514 1404 393

Answer:

  2 < x < 15

Step-by-step explanation:

The triangle inequality requires all of ...

  (x +11) +(2x +10) > (5x -9)   ⇒   30 > 2x

  (2x +10) +(5x -9) > (x +11)   ⇒   6x > 10

  (5x -9) +(x +11) > (2x +10)   ⇒   4x > 8

The solutions to these are ...

  x < 15

  x > 5/3

  x > 2

So, the final requirement that has x satisfying all of these is ...

  2 < x < 15

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