If both the roots of the quadratic equation x2 $-$ mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval :

Question

If both the roots of the quadratic equation x² $-$ mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval :

($-$5, $-$4)