Question 1181230


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<1+AB }}}

=>{{{24=1+AB}}}
=>{{{24-1=AB}}}
=>{{{23=AB}}}

so, {{{ x<24}}}

from triangle {{{ACD}}}:

{{{x<17+7}}}   =>{{{x<24}}}
also
{{{17<x+7}}}=>{{{17-7<x}}} =>{{{10<x }}}

combine solutions:

{{{10<x<24}}}