Question

If the lengths of two sides of a triangle are represented by 2x + 5 and 3x + 7 (in which x is positive), describe in terms of x the possible lengths of the third side whose

length is represented by y.

Answer 1

x + 2 < y < 5x + 12

Explanation:

given 2 sides of a triangle then the third side y is within the limits

difference of 2 sides < y < sum of 2 sides

3x + 7 - (2x + 5) < y < 3x + 7 + 2x + 5

3x + 7 - 2x - 5 < y < 5x + 12

x + 2 < y < 5x + 12