Question

(X-6)(x+1)<0 Решите пожалуйста

Answer 1

Ответ: x равен от 1 до 5

Answer 2

Solving the inequality (X-6)(x+1)<0

To solve this inequality, we first factorize the left-hand side: (X-6)(x+1)<0

Since the product of two numbers is negative if and only if one number is positive and the other is negative, we obtain the following solution regions:

- X-6<0 and x+1>0, which gives X<6 and x>-1 - X-6>0 and x+1<0, which gives X>6 and x<-1

Combining these solution regions, the final solution is: (-∞;6) ∪ (6;+∞) × (-1;+∞)

So in interval notation, the solution is: (-∞;6) ∪ (6;+∞)

Therefore, the solution to the given inequality is the intervals (-∞;6) and (6;+∞).