Step 1 :Re-arrange the inequality: $x^2 - 5x + 4 < 0$
Step 2 :Factor the left-hand quadratic: $(x - 4)(x - 1) < 0$
Step 3 :Determine the intervals where the inequality holds: $x < 1$ or $x > 4$
Step 4 :Express the answer in interval notation: \(\boxed{x \in (-\infty, 1) \cup (4, \infty)}\)