Answer:
![(18)/(5)<x<4\\ \\3.6<x<4](https://img.qammunity.org/2020/formulas/mathematics/high-school/cjzf9q9iifscc7dil06g9lwao5wod0fbdm.png)
Explanation:
The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.
Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality
15<5x-3<17
Add 3 to this inequality
15+3<5x-3+3<17+3
18<5x<20
Divide it by 5:
![(18)/(5)<x<4\\ \\3.6<x<4](https://img.qammunity.org/2020/formulas/mathematics/high-school/cjzf9q9iifscc7dil06g9lwao5wod0fbdm.png)