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Solution set of `(5x-1)lt (x+1)^(2)lt (7x -3)` isA. `(1, 4)`B. `[2, 4]`C. `(2, 4)`D. `(-oo, 1)uu(2, oo)` |
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Answer» Correct Answer - C Solution set of `(5x - 1)` …………. `(5x - 1) lt (x + 1)^(2) lt (7x - 3)` `implies 5x - 1lt(x+1)^(2)lt(7x-3)` `implies 5x-1lt(x+1)^(2) and (x+1)^(2)lt7x-3` `implies (x+1)^(2)-5x+1gt0 and (x+1)^(2)- 7x+3 lt0` `implies x^(2)-3x +2 gt 0 and x^(2) - 5x +4 lt 0` `implies (x-1)(x-2)lt0 and (x-1)(x-4)lt0` `implies x epsilon(-oo, 1)uu(2, oo) and 1 lt x lt 4` `implies 2 lt x lt 4` |
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