Respuesta :

mhanifa

Answer:

  • 11

Step-by-step explanation:

Use triangle inequality

Each side length of the triangle is smaller than the sum of the other two side lengths

  • x + x + 5 > 2x - 15 ⇒ 2x + 5 > 2x - 15, any value of x
  • x + 2x - 15 > x + 5 ⇒ 2x > 2 + 15 ⇒ 2x > 20 ⇒ x > 10
  • x + 5 + 2x - 15 > x ⇒ 2x - 10 > 0 ⇒ 2x > 10 ⇒ x > 5

The solution is x > 10 so the smallest integer value of x is 11.