Question

Найдите целые решения системы неравенств {10-4х>3(1-х){3,5+0,25х<2хпожалуйста помогите Посмотреть ответы iramazurk iramazurk Ответ: Пошаговое объяснение: 10 - 4х > 3(1 - х) 3,5 + 0,25х < 2х 10 - 4х > 3 - 3х 0,25х - 2х < -3,5 -4х + 3х > 3 - 10 -1,75х < -3,5 -х < -7 х > -3,5 : (-1,75) х < 7 х > 2 х € (2; 7) dyexfnf dyexfnf Ответ: Пошаговое объяснение: {10 - 4х > 3(1 - х) {3,5 + 0,25х < 2х 10 - 4х > 3 - 3х -4х + 3х > 3 - 10 -х < -7  х < 7 0,25х - 2х < -3,5 -1,75х < -3,5 х > -3,5 : (-1,75) х > 2 х ∈ ( 2; 7) Новые вопросы в Математика Водію потрібно розвезти товар до 5 складів. Імовірність того, що склад на той час не закритий, а працює дорівнює 0,5. Побудувати ряд розподілу, а тако … ж обчислити математичне сподівання, дисперсію і середине квадратичне відхилення кількості складів, на якій водій зможе передати товар. на рисунке изображены равносторонние треугольники. сумма периметров этих треугольников равна 72,6 см. найдите длину отрезка АК Як називається фігура, зображена на малюнку?​СРООООЧНОО!! Для виготовлення 6 однакових приладів потрібно 90 кг металу. Скільки кілограмів металу потрібно для виготовлення 15 таких самих приладів? ​ Чому дорівнює радіус кола, вписаного в правильний трикутник зі стороною 12см? З детальним поясненням будь ласка Предыдущий Следующий Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . Вы можете указать условия хранения и доступ к cookies в своем браузере. 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Answer 1

System of Inequalities

To find the integer solutions to the system of inequalities, let's solve each inequality separately and then find the intersection of their solution sets.

The given system of inequalities is: 1. 10 - 4x > 3(1 - x) 2. 3.5 + 0.25x < 2x

Let's solve each inequality step by step.

Solving the First Inequality

Starting with the first inequality: 10 - 4x > 3(1 - x)

Expanding the right side: 10 - 4x > 3 - 3x

Combining like terms: 10 - 4x + 4x > 3 - 3x + 4x 10 > 3 + x

Simplifying further: 10 - 3 > x 7 > x

So, the first inequality can be rewritten as: x < 7 [[1]]

Solving the Second Inequality

Moving on to the second inequality: 3.5 + 0.25x < 2x

Subtracting 0.25x from both sides: 3.5 < 2x - 0.25x 3.5 < 1.75x

Dividing both sides by 1.75: 2 < x

So, the second inequality can be rewritten as: x > 2 [[1]]

Finding the Intersection

To find the intersection of the solution sets, we need to find the values of x that satisfy both inequalities.

From the first inequality, we know that x < 7. From the second inequality, we know that x > 2.

Therefore, the values of x that satisfy both inequalities are: x ∈ (2, 7)

Hence, the integer solutions to the given system of inequalities are all the integers between 2 and 7, excluding 2 and 7.

I hope this helps! Let me know if you have any further questions.