Question

Срочно даю 20 балов При каких значениях переменной х модуль суммы чисел 3х и 6 меньше числа 20 на 2

Answer 1

Ответ:

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Answer 2

При каких значениях переменной x модуль суммы чисел 3x и 6 будет меньше числа 20 на 2?

Understanding the problem

We are given the equation: |3x + 6| < 20 - 2.

Solving the equation

To solve this equation, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: 3x + 6 > 0 In this case, we can remove the absolute value sign and solve the equation: 3x + 6 < 20 - 2 3x + 6 < 18 3x < 18 - 6 3x < 12 x < 12/3 x < 4

Case 2: 3x + 6 < 0 In this case, we need to change the sign of the inequality when removing the absolute value sign: -(3x + 6) < 20 - 2 -3x - 6 < 18 -3x < 18 + 6 -3x < 24 x > 24/-3 x > -8

Final solution

Combining the solutions from both cases, we find that the values of x that satisfy the equation |3x + 6| < 20 - 2 are: -8 < x < 4.

Note: The solution is based on the given equation and the assumption that the equation is asking for real number solutions. If there are any additional constraints or requirements, please provide more information.