Question

| 5х+3 |<7. | 4х+3 |>5 помогите пожалуйста ПЖПЖПЖПЖПЖППЖПЖПЖАЖПЖПЖПЖПЖЕЖАЖАЖАЖПЖАЖ СРОЧНО!!!!! 20 баллов!!!!!

Answer 1

все на фото. надеюсь правильно

Answer 2

Solving the Inequality

To solve the given inequality |5x + 3| < 7 and |4x + 3| > 5, we'll break it down into two separate inequalities and solve for the values of x.

Solving |5x + 3| < 7

To solve the inequality |5x + 3| < 7, we'll consider two cases: 1. When 5x + 3 ≥ 0 (i.e., when the expression inside the absolute value is non-negative). 2. When 5x + 3 < 0 (i.e., when the expression inside the absolute value is negative).

Case 1: 5x + 3 ≥ 0

In this case, the inequality becomes 5x + 3 < 7. Solving for x: ``` 5x + 3 < 7 5x < 4 x < 4/5 ``` So, for 5x + 3 ≥ 0, the solution is x < 4/5.

Case 2: 5x + 3 < 0

In this case, the inequality becomes -(5x + 3) < 7. Solving for x: ``` -(5x + 3) < 7 -5x - 3 < 7 -5x < 10 x > -2 ``` So, for 5x + 3 < 0, the solution is x > -2.

Therefore, the combined solution for |5x + 3| < 7 is -2 < x < 4/5.

Solving |4x + 3| > 5

To solve the inequality |4x + 3| > 5, we'll again consider two cases: 1. When 4x + 3 > 0. 2. When 4x + 3 < 0.

Case 1: 4x + 3 > 0

In this case, the inequality becomes 4x + 3 > 5. Solving for x: ``` 4x + 3 > 5 4x > 2 x > 1/2 ``` So, for 4x + 3 > 0, the solution is x > 1/2.

Case 2: 4x + 3 < 0

In this case, the inequality becomes -(4x + 3) > 5. Solving for x: ``` -(4x + 3) > 5 -4x - 3 > 5 -4x > 8 x < -2 ``` So, for 4x + 3 < 0, the solution is x < -2.

Therefore, the combined solution for |4x + 3| > 5 is x < -2 or x > 1/2.

Conclusion

The combined solution for the given inequalities is x < -2 or -2 < x < 4/5 or x > 1/2.