Question

Two sides of a triangle measure 10 feet and 14 feet. Which

inequality shows the possible lengths for the third side, x?

Answers options:

10 ≤ x ≤ 14


4 ≤ x ≤ 24


10 < x < 14


4 < x < 24

Answer 1

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The third side of the Triangle should be greater than the difference of other two sides, so

• 
  `x > 14 - 10`

• 
  `x > 4`

And, The third side should be less than the sum of other two sides that is ~

• 
  `x < 14 + 10`

• 
  `x < 24`

Considering these two inequalities, we get ~

• 
  `4 < x < 24`