Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 3 of Very Short Answer
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3
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, ∞)
