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makkiz [27]
3 years ago
12

50 points! Look at the picture attached. Random answers will be reported

Mathematics
2 answers:
aleksley [76]3 years ago
7 0

Answer:

  • x > 14

Step-by-step explanation:

  • <em>Triangle inequality: </em>
  • <em>for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side</em>

<u>Apply to the given triangle:</u>

  • 2x + 1 + x + 16 > 2x+ 31 ⇒ 3x - 2x > 31 - 17 ⇒ x > 14
  • 2x + 1 + 2x + 31 > x + 16 ⇒ 4x - x > 16 - 32 ⇒ 3x > -16 ⇒ x > -16/3
  • 2x + 31 + x + 16 > 2x + 1 ⇒ 3x - 2x > 1 - 47 ⇒ x > - 46

<u>Combination of the three inequalities:</u>

  • x > 14
tiny-mole [99]3 years ago
6 0

Step-by-step explanation:

Ans is here in picture plz give me brilliant ans

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