Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length of the third side?

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1. Answer:

   third side must be between 3 and 11, non-inclusive

   Step-by-step explanation:

   Triangle Inequality Theorem:

   sum of any two sides must be greater than the third

   4 + 7 > x;   x < 11

   4 + x > 7;   x > 3

   third side:

   3 < x < 11

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