SOLUTION: I have a triangle with the number 8 on one side, the number 10 on one side, and the letter x on one side. Is 18 greater than or less than x ? explain

Algebra ->  Equations -> SOLUTION: I have a triangle with the number 8 on one side, the number 10 on one side, and the letter x on one side. Is 18 greater than or less than x ? explain      Log On


   



Question 630108: I have a triangle with the number 8 on one side, the number 10 on one side, and the letter x on one side. Is 18 greater than or less than x ? explain
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
If the three sides of a triangle are a,b, and c, it must
be that if you add any two sides, the number you get must
be greater than the third side, that is

a + b > c
a + c > b
b + c > a

In your case, a = 8, b = 10, and c = x

8 + 10 > x
8 + x > 10
10 + x > 8

Simplifying, we get

18 > x
x > 2
x > -2

The first one answers your question. 18 is greater than x.

Edwin