SOLUTION: https://media.discordapp.net/attachments/723023718497910816/849263624828747776/unknown.png?width=377&height=89

Algebra ->  Length-and-distance -> SOLUTION: https://media.discordapp.net/attachments/723023718497910816/849263624828747776/unknown.png?width=377&height=89      Log On


   

Question 1181230: https://media.discordapp.net/attachments/723023718497910816/849263624828747776/unknown.png?width=377&height=89
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.


from triangle ABC:
x%3C1%2BAB+
=>24=1%2BAB
=>24-1=AB
=>23=AB
so, +x%3C24
from triangle ACD:
x%3C17%2B7 =>x%3C24
also
17%3Cx%2B7=>17-7%3Cx =>10%3Cx+
combine solutions:
10%3Cx%3C24