Q3 of 122 Page 15

Write the set of values of x satisfying the inequation .

(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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