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Помогите пожалуйста: Розвяжіть систему нерівності {4-x < 5 {4 + x < 6 Посмотреть ответы kissofevg kissofevg Ответ: Объяснение: {4-x < 5 {4 + x < 6 {-x < 5-4 { x < 6-4 {-x < 1 Ι·(-1) { x <2 {x>-1 { x < 2 х∈(-1;2) kosta228005472 kosta228005472 1) 4 - x < 5 4 - 5 < x x > -1 2) 4 + x < 6 x < 6 - 4 x < 2 -1 < x < 2 Новые вопросы в Алгебра Вычислите. Пожалуйста Дано функцію y=x³-ax²+4x-5. При якому значенні параметра a кут нахилу дотичної, проведеної до графіка цієї функції в точці x0=1, дорівнює 45°?Буду дуж … е вдячен за розв'язок ​ РЕШИТЕ 22 и 23 ОЧЕНЬ СРОЧНО, ЗАРАНЕЕ СПАСИБО ​ cos3(альфа)- cos(альфа)/sin3(альфа)+sin(альфа)​ РЕШИТЕ 13 И 14 ОЧЕНЬ НАДО, ЗАРАНЕЕ СПАСИБО ​ 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

The given system of inequalities is:

1. 4 - x < 5 2. 4 + x < 6

To solve this system, we can solve each inequality separately and then find the intersection of their solution sets.

Solving the First Inequality

Let's solve the first inequality: 4 - x < 5.

1. Subtract 4 from both sides: -x < 5 - 4. 2. Simplify: -x < 1. 3. Multiply both sides by -1 (since we are multiplying by a negative number, we need to reverse the inequality sign): x > -1.

So, the solution to the first inequality is x > -1.

Solving the Second Inequality

Now, let's solve the second inequality: 4 + x < 6.

1. Subtract 4 from both sides: x < 6 - 4. 2. Simplify: x < 2.

So, the solution to the second inequality is x < 2.

Intersection of Solution Sets

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 have x > -1. From the second inequality, we have x < 2.

The values of x that satisfy both inequalities are between -1 and 2, excluding -1 and 2. In interval notation, this can be written as x ∈ (-1, 2).

Therefore, the solution to the given system of inequalities is x ∈ (-1, 2).

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