1.

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

Answer»

(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, ∞)



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