Question

Write the set of values of x satisfying the inequation (x² - 2x + 1)(x - 4) ≥ 0.

Answer 1

(x² – 2x + 1)(x – 4) ≥ 0 

(x – 1)²(x – 4) ≥ 0 

⇒ (x – 1)² ≥ 0 and (x – 4) ≥ 0 

⇒ Square term is always positive and x ≥ 4 

So, answer is x ∈ [4, ∞)