we know that
The Triangle Inequality Theorem states that the sum of any \(2\) sides of a triangle must be greater than the measure of the third side
in this problem
we have the segments EF, FD and DE
to construct a triangle three inequalities must be met
case 1)
\(EF+FD > DE\)
case 2)
\(FD+DE > EF\)
case 3)
\(EF+DE > FD\)
therefore
the answer is
ED + EF < DF
EF + FD < DE
