Question 390952
Hint: A triangle with sides 'a', 'b', and 'c' is only possible if {{{a+b>c}}}. Note: the labels are arbitrary which means that the labels can be rearranged. For example, we can also say {{{a+c>b}}} or {{{b+c>a}}}. The basic idea is that the sum of any two sides must be greater than the remaining third side.



So this means that you have these 3 inequalities



{{{AB+BC>AC}}}


{{{AB+AC>BC}}}


{{{BC+AC>AB}}}



Make the proper substitutions and solve for x in each inequality. Once you have the 3 solution sets, find the intersection of the 3 sets to find your answer.



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Jim