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anonymous
 3 years ago
Please help :(
The lengths of two of the sides of a certain triangle are (x  3) and (x+3) where x > 3. Which of the following ranges represent all of the possible values of the third side, s?
anonymous
 3 years ago
Please help :( The lengths of two of the sides of a certain triangle are (x  3) and (x+3) where x > 3. Which of the following ranges represent all of the possible values of the third side, s?

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PaxPolaris
 3 years ago
Best ResponseYou've already chosen the best response.2The sum of any two side of a triangle have to be greater than the third side.

PaxPolaris
 3 years ago
Best ResponseYou've already chosen the best response.2So, \[\large(x3)+(x+3) >s\]\[\large(x3)+s >(x+3)\]\[\large\cancel{(x+3)+s >(x3)}\] use the first two inequalities to find the limit for s

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0why not the last one? does it cancel out or something?

PaxPolaris
 3 years ago
Best ResponseYou've already chosen the best response.2we already know that \(x+3>x−3\) .... so the last one happens to be true for all s ... it doesn't help

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ohh, okay. So would the answer be 6 < s < 2x ?

PaxPolaris
 3 years ago
Best ResponseYou've already chosen the best response.2yes \(\Large\checkmark\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Thank you so much :) I really didn't know what to do for it so you helped me SO much :)
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