Question

-1.4 +0,5(11b - 2) < -5,5b + 1.6;​

Answer 1

-1,4 + 5,5b - 1 < -5,5b + 1,6

5,5b + 5,5b < 1,6 + 1,4 + 1

11b < 4

b < 4/11

Ответ: b < 4/11

*( / ) это дробная черта.

Answer 2

To solve the inequality -1.4 + 0.5(11b - 2) < -5.5b + 1.6, you can follow these steps:

1. Distribute the 0.5 on the left side: -1.4 + 5.5b - 1 < -5.5b + 1.6

2. Combine like terms on both sides of the inequality: 5.5b - 2.4 < -5.5b + 1.6

3. Move the -5.5b from the right side to the left side by adding 5.5b to both sides of the inequality: 5.5b + 5.5b - 2.4 < 1.6

4. Simplify the left side: 11b - 2.4 < 1.6

5. Move the constant term -2.4 from the left side to the right side by adding 2.4 to both sides of the inequality: 11b - 2.4 + 2.4 < 1.6 + 2.4

6. Simplify both sides of the inequality: 11b < 4

7. Finally, divide both sides by 11 to isolate "b": (11b) / 11 < 4 / 11

8. Simplify further: b < 4/11

So, the solution to the inequality -1.4 + 0.5(11b - 2) < -5.5b + 1.6 is:

b < 4/11