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