SOLUTION: Find the range of possible measures of x if each set of expressions represents measures of the sides of the triangle. x,4,6

Algebra ->  Triangles -> SOLUTION: Find the range of possible measures of x if each set of expressions represents measures of the sides of the triangle. x,4,6       Log On


   

Question 1107410: Find the range of possible measures of x if each set of expressions represents measures of the sides of the triangle. x,4,6
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
Because of the Triangle Inequality, the sum of any two side lengths of a triangle have to be greater than the third.

x + 4 > 6
6 + 4 > x
x + 6 > 4

Simplifying, we get
x > 2
x < 10

x can be any number between 3 and 9 inclusive.