Question

|5 – 3х| = -15 ( модуль)

Answer 1

Решение:

|5 – 3х| = -15.

Ответ: уравнение не имеет решений, т.к. модуль не может быть равен отрицательному числу.

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Answer 2

Ответ:твердження хибне для будь якого значення х, оскільки

Функція абсолютної величини завжди додатні або 0

Пошаговое объяснение:

Answer 3

To solve the equation |5 - 3x| = -15, we need to consider the absolute value (modulus) function.

The absolute value of any expression is always non-negative. It cannot be equal to a negative value like -15. Therefore, there are no solutions to the given equation.

If the equation had a positive value on the right side, we could solve it as follows:

1. Split the equation into two cases, one with the expression inside the absolute value bars positive and the other with it negative:

Case 1: 5 - 3x > 0 (positive) Case 2: 5 - 3x < 0 (negative)

2. Solve each case separately.

Case 1: 5 - 3x > 0 Subtract 5 from both sides: -3x > -5 Divide by -3, remembering to reverse the inequality sign: x < 5/3

Case 2: 5 - 3x < 0 Subtract 5 from both sides: -3x < -5 Divide by -3, remembering to reverse the inequality sign: x > 5/3

3. Combine the solutions from both cases.

The solution set for the equation |5 - 3x| = -15, when the right side is positive, is x < 5/3. The solution set for the equation |5 - 3x| = -15, when the right side is negative, is x > 5/3.

However, since the right side of the given equation is -15, which is negative, there are no solutions.