Question

3,7x+8>4,3-1225,1x-16,6<18,1x+18,4​

Answer 1

Решение на фото будут вопросы пишите

Answer 2

To solve the inequality, let's break it down into two parts and solve each separately:

1. 3,7x + 8 > 4,3 - 1225,1x - 16,6
2. 4,3 - 1225,1x - 16,6 < 18,1x + 18,4

Let's start with the first inequality:

1. 3,7x + 8 > 4,3 - 1225,1x - 16,6

To simplify this, let's combine like terms:

3,7x + 8 > -1225,1x - 12,3

Now, let's move all the terms involving x to one side and the constant terms to the other side:

3,7x + 1225,1x > -12,3 - 8

Combine like terms again:

1228,8x > -20,3

Now, divide both sides by 1228,8 to solve for x:

x > -20,3 / 1228,8

x > -0.0166 (rounded to four decimal places)

Now let's move on to the second inequality:

2. 4,3 - 1225,1x - 16,6 < 18,1x + 18,4

Again, let's combine like terms:

-1225,1x - 18,6 < 18,1x + 18,4

Move all the terms involving x to one side and the constant terms to the other side:

-1225,1x - 18,1x < 18,4 + 16,6

Combine like terms:

-1243,2x < 35

Now, divide both sides by -1243,2. Note that when dividing an inequality by a negative number, the direction of the inequality sign must be flipped:

x > 35 / -1243,2

x > -0.0281 (rounded to four decimal places)

Therefore, the solution to the original inequality system is:

x > -0.0166 x > -0.0281

Since both inequalities have the same solution, we can write the final solution as:

x > -0.0166