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Question-18366




Question Number 18366 by ketto last updated on 19/Jul/17
Answered by Tinkutara last updated on 19/Jul/17
−4 < 5 − 3x ≤ 17  −9 < −3x ≤ 12  −12 ≤ 3x < 9  −4 ≤ x < 3  x ∈ [−4, 3)
$$−\mathrm{4}\:<\:\mathrm{5}\:−\:\mathrm{3}{x}\:\leqslant\:\mathrm{17} \\ $$$$−\mathrm{9}\:<\:−\mathrm{3}{x}\:\leqslant\:\mathrm{12} \\ $$$$−\mathrm{12}\:\leqslant\:\mathrm{3}{x}\:<\:\mathrm{9} \\ $$$$−\mathrm{4}\:\leqslant\:{x}\:<\:\mathrm{3} \\ $$$${x}\:\in\:\left[−\mathrm{4},\:\mathrm{3}\right) \\ $$

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