Question

2 (x+3) >9-x18-3x<5x-6сыстема ​

Answer 1

Ответ:

2}{+6>9-}{

18+6<5}{+3}{

2}{+}{>9-6

-8}{<-24 |:(-8)

3}{>3 |:3

}{>3

}{>1

}{>3

Answer 2

Ответ:

вот решение и рисунок!!

Answer 3

To solve the system of inequalities, let's work on each inequality separately:

1. 2(x + 3) > 9 - x

Expanding the brackets, we have:

2x + 6 > 9 - x

Rearranging the terms:

2x + x > 9 - 6

Combining like terms:

3x > 3

Dividing both sides by 3:

x > 1

2. 18 - 3x < 5x - 6

Adding 3x to both sides and adding 6 to both sides, we have:

18 + 6 < 5x + 3x

24 < 8x

Dividing both sides by 8:

3 < x

So the second inequality can be rewritten as:

x > 3

Now, let's consider the system of inequalities:

x > 1 x > 3

Since x must satisfy both inequalities, we take the intersection of their solution sets. In this case, the common solution is x > 3.

Therefore, the solution to the system of inequalities is:

x > 3