Question

5(х-3)+23>3х 7(2-х)+6х>12 Помогите дам 100 баллов наверху большая скобка

Answer 1

Ответ:

Пошаговое объяснение:
5(х - 3) + 23 > 3х
7(2 - х) + 6х > 12

5х - 15 + 23 > 3х
14 - 7х + 6х > 12

5х + 8 > 3х
-х > 12 - 14

5х - 3х > -8
-х > -2

2х > -8
х < 2

х > -8 : 2
х < 2

х > -4
х < 2

х є (-4; 2)

Answer 2

Ответ:

Пошаговое объяснене:

5(х - 3) + 23 > 3х

7(2 - х) + 6х > 12

5х - 15 + 23 > 3х

14 - 7х + 6х > 12

5х + 8 > 3х

-х > 12 - 14

5х - 3х > -8

-х > -2

2х > -8

х < 2

х > -8 : 2

х < 2

х > -4

х < 2

х є (-4; 2)

Answer 3

To solve the given inequality, let's break it down step by step:

5(x - 3) + 23 > 3x + 7(2 - x) + 6x > 12

Simplifying the Inequality:

Let's start by simplifying each side of the inequality separately.

On the left side: 5(x - 3) + 23 > 3x + 7(2 - x) + 6x

Simplifying the left side: 5x - 15 + 23 > 3x + 14 - 7x + 6x

Combining like terms: 5x + 8 > 2x + 14

On the right side: 3x + 7(2 - x) + 6x > 12

Simplifying the right side: 3x + 14 - 7x + 6x > 12

Combining like terms: 2x + 14 > 12

Solving the Inequality:

Now, let's solve each part of the inequality separately.

On the left side: 5x + 8 > 2x + 14

Subtracting 2x from both sides: 5x - 2x + 8 > 2x - 2x + 14

Simplifying: 3x + 8 > 14

Subtracting 8 from both sides: 3x + 8 - 8 > 14 - 8

Simplifying: 3x > 6

Dividing both sides by 3: (3x)/3 > 6/3

Simplifying: x > 2

On the right side: 2x + 14 > 12

Subtracting 14 from both sides: 2x + 14 - 14 > 12 - 14

Simplifying: 2x > -2

Dividing both sides by 2: (2x)/2 > (-2)/2

Simplifying: x > -1

Final Solution:

Combining the solutions from both sides, we have: -1 < x < 2

Therefore, the solution to the given inequality is -1 < x < 2.

Please note that this solution assumes that x is a real number.