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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?
 one year ago
 one year 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?
 one year ago
 one year ago

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PaxPolarisBest 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.
 one year ago

PaxPolarisBest 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
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.0
why not the last one? does it cancel out or something?
 one year ago

PaxPolarisBest 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
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.0
ohh, okay. So would the answer be 6 < s < 2x ?
 one year ago

PaxPolarisBest ResponseYou've already chosen the best response.2
yes \(\Large\checkmark\)
 one year ago

xRAWRRx3Best 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 :)
 one year ago
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