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xRAWRRx3
Group Title
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?
 2 years ago
 2 years ago
xRAWRRx3 Group Title
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?
 2 years ago
 2 years ago

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

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

xRAWRRx3 Group TitleBest ResponseYou've already chosen the best response.0
why not the last one? does it cancel out or something?
 2 years ago

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

xRAWRRx3 Group TitleBest ResponseYou've already chosen the best response.0
ohh, okay. So would the answer be 6 < s < 2x ?
 2 years ago

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

xRAWRRx3 Group TitleBest ResponseYou've already chosen the best response.0
Thank you so much :) I really didn't know what to do for it so you helped me SO much :)
 2 years ago
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