we know that
The Triangle Inequality Theorem states that the sum of any [tex]2[/tex] 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)
[tex]EF+FD > DE[/tex]
case 2)
[tex]FD+DE > EF[/tex]
case 3)
[tex]EF+DE > FD[/tex]
therefore
the answer is
ED + EF < DF
EF + FD < DE
