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## A triangle has sides measuring 2 and 7 of X represents the length in inches of the third side, which inequality gives the range of possible

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A triangle has sides measuring 2 and 7 of X represents the length in inches of the third side, which inequality gives the range of possible values for X

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Mathematics
3 years
2021-08-05T18:09:14+00:00
2021-08-05T18:09:14+00:00 1 Answers
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## Answers ( )

Answer:The inequality range of X is determined as

5 < X < 9Step-by-step explanation:Given;

first length of the triangle = 2 inches

second length of the triangle = 7 inches

third length of the triangle = X

From the third length rule of a triangle, the following inequality range will be applied to determine the length of “X”;

The third length of the triangle must be greater than the difference of the two known sides BUT less than the sum of the two known sides.

(7 – 2) < X < (7 + 2)

5 < X < 9possible values of X = 6, 7, 8

Therefore, the inequality range of X is determined as

5 < X < 9