Question

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

Answer 1

Answer:

The inequality range of X is determined as    5 < X < 9

Step-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 < 9

possible values of X = 6, 7, 8

Therefore, the inequality range of X is determined as    5 < X < 9