Question

(x-1)(x-2)/(x-3)(x-4)>0 then class 11

Answer 1

Answer:

Equating (x − 3)(x − 4) and (x – 1)(x − 2) to zeto we obtain x = 3,4, 1, 2 as critical points. Plot these points on the real line as shown below. The real line is divided into 6 regions. When x > 4 ∴ (x−1)(x−2)(x−3)(x−4)(x−1)(x−2)(x−3)(x−4) ≥ 0 When 3 < x < 4 ∴ (x−1)(x−2)(x−3)(x−4)(x−1)(x−2)(x−3)(x−4) ≤ 0 When 2 ≤ x < 3 ∴ (x−1)(x−2)(x−3)(x−4)(x−1)(x−2)(x−3)(x−4) ≥ 0 When 1 ≤ ≤ 2 ∴ (x−1)(x−2)(x−3)(x−4)(x−1)(x−2)(x−3)(x−4) ≤ 0 When 1 < < 0 ∴ (x−1)(x−2)(x−3)(x−4)(x−1)(x−2)(x−3)(x−4) ≥ 0 When < 0 ∴ (x−1)(x−2)(x−3)(x−4)(x−1)(x−2)(x−3)(x−4)≥ 0 Hence Solution Set, {−∞1] ∪ [2,3)(4, ∞) Hence, solution set: ≥ 4 ∈ [4, ∞)Read more on Sarthaks.com - https://www.sarthaks.com/1037534/solve-x-1-x-2-x-3-x-4-0-x-r

Answer 2

Step-by-step explanation:

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