
|13 – 2х| ≥ 2|4x–9|решение и ответ неравенства


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Объяснение:
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I can help you with solving this inequality. Here are the steps:
1. To solve an inequality with absolute values, we need to consider two cases: when the expressions inside the absolute values are positive or negative. For example, |x| = x if x ≥ 0, and |x| = -x if x < 0. 2. In this case, we have |13 - 2x| ≥ 2|4x - 9|. We can split this into two cases: when 13 - 2x ≥ 0 and when 13 - 2x < 0. 3. If 13 - 2x ≥ 0, then we can remove the absolute values and get 13 - 2x ≥ 2(4x - 9). Simplifying this, we get -10x ≥ -31, or x ≤ 31/10. 4. If 13 - 2x < 0, then we need to change the sign of the expression inside the absolute value and get -(13 - 2x) ≥ 2(4x - 9). Simplifying this, we get 10x ≥ 49, or x ≥ 49/10. 5. The final solution is the union of the two cases, so we write x ≤ 31/10 or x ≥ 49/10. This means that any value of x that is less than or equal to 31/10 or greater than or equal to 49/10 satisfies the inequality.
You can also check your answer using online calculators, such as [this one](https://mathsolver.microsoft.com/ru/solver). Just enter the inequality and click on "Solve". You will see the same solution as above, as well as a graph of the solution set.


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