Вопрос:

13. Укажи решение неравенства 7 + 4x > 18 – 6(x + 5).

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Ответ:

Here is the problem: 7 + 4x > 18 – 6(x + 5) First, let's simplify the right side of the inequality: 18 - 6(x + 5) = 18 - 6x - 30 = -6x - 12 So the inequality becomes: 7 + 4x > -6x - 12 Now, let's move all the x terms to one side and the constant terms to the other side. Add 6x to both sides: 7 + 4x + 6x > -12 7 + 10x > -12 Subtract 7 from both sides: 10x > -12 - 7 10x > -19 Finally, divide by 10: x > -19 / 10 x > -1.9 The solution in interval notation is (-1.9, +∞). Let's check the options: 1) (-∞; 1,9) 2) (1,9; +∞) 3) (-∞; -1,9) 4) (−1,9; +∞) The correct option is 4.
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