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If `((x^(2)-1)(x+2)(x+1)^(2))/((x-2))lt0` , then complete solution set of inequation isA. `(-2,-1)uu(1,2)`B. `(-oo, -2)uu(2,oo)`C. `(-2,-1)uu(2,oo)`D. `(-2,-1)uu(1,oo)` |
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Answer» Correct Answer - A If `((x^(2)-1)(x+2)(x+1)^(2))/((x-2))lt 0` ………… `((x^(2)-1)(x+2)(x+1)^(2))/((x-2))lt 0` `((x^(2)-1)(x^(2)-4)(x+1)^(2))/((x-2)^(2))lt 0` `(x^(2)-1)(x^(2)-4)lt0` `1lt x^(2)lt 4` `-2lt x lt -1 or 1lt x lt 2` |
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