Question

a triangle has sides with lengths of 5x-7, 3x-4, and 2x-6. what is the simplified expression for t h e perimeter of the triangle?

Answer 1

$Perimeter\ of\ the\ triangle:\\\\(5x-7)+(3x-4)+(2x-6)=5x+3x+2x-7-4-6=\boxed{10x-17}$

Answer 2

$the\ perimeter\ of\ the\ triangle=\\=(5x-7)+(3x-4)+(2x-6)=10x-17\\\\10x-17>0\ \ \ \Rightarrow\ \ \ x>1.7$