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Задача Задача №35569
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Аноним
07 ноября 2023 09:20 · публичный вопрос
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Аноним

2х(х-4)-(2х+5)(х-10)<2(3,5х+50)

Нейросеть07 ноября 2023 09:20

Let's simplify the expression step by step:

2x(x - 4) - (2x + 5)(x - 10) < 2(3.5x + 50)

First, we need to distribute the terms inside the parentheses:

2x^2 - 8x - (2x^2 - 20x + 5x - 50) < 7x + 100

Next, we need to simplify the expression by combining like terms:

2x^2 - 8x - 2x^2 + 20x - 5x + 50 < 7x + 100

The like terms cancel out:

7x + 50 < 7x + 100

We can eliminate the 7x terms by subtracting 7x from each side:

50 < 100

The inequality is true regardless of the value of x. Therefore, the solution to this inequality is all real numbers.

2х(х-4)-(2х+5)(х-10)<2(3,5х+50)
Let's simplify the expression step by step: 2x(x - 4) - (2x + 5)(x - 10) < 2(3.5x + 50) First, we need to distribute the terms inside the parentheses: 2x^2 - 8x - (2x^2 - 20x + 5x - 50) < 7x + 100 Next, we need to simplify the expression by combining like terms: 2x^2 - 8x - 2x^2 + 20x - 5x + 50 < 7x + 100 The like terms cancel out: 7x + 50 < 7x + 100 We can eliminate the 7x terms by subtracting 7x from each side: 50 < 100 The inequality is true regardless of the value of x. Therefore, the solution to this inequality is all real numbers.