triangle has sides measuring 2 inches and 7 inches If x represents the length in inches of the third side which inequality gives the range of possible values for x?
we know that The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem) so inequality 1 [tex](2+7) \ \textgreater \ x \\ 9 \ \textgreater \ x \\ x \ \textless \ 9 in [/tex] inequality 2 [tex](x+2) \ \textgreater \ 7 \\ x \ \textgreater \ 7-2 \\ x \ \textgreater \ 5 in [/tex] the answer is [tex]5 in \ \textless \ x \ \textless \ 9 in[/tex]
