Question

O, 14, 6 7 1047. 1) |3c| < 10; 2) x > 5; 3) x < 8,7; 4) |x| = 6,2.​

Answer 1

Ответ:

Пошаговое объяснение:

|3с| < 10

3 * |с| < 10

1)

3с < 10, с ≥ 0

с < 10/3, с ≥ 0

2)

3с < -10, с < 0

с > -10/3, с < 0

с є [ 0,10/3)

с є ( -10/3, 0)

с є (-10/3, 10/3)

|х| = 6,2

х 1 = 6,2

х 2 = -6,2

Answer 2

The given statement seems to consist of multiple parts. Let's break it down and address each part individually:

1. |3c| < 10: This inequality states that the absolute value of 3c is less than 10. To solve this inequality, we need to consider two cases:

Case 1: 3c < 10 Dividing both sides of the inequality by 3 gives us c < 10/3.

Case 2: -(3c) < 10 Multiplying both sides of the inequality by -1 reverses the inequality direction, giving us 3c > -10. Dividing both sides by 3 results in c > -10/3.

So, the solution to the inequality |3c| < 10 is -10/3 < c < 10/3.

2. x > 5: This inequality states that x is greater than 5. It is a simple inequality, and no further steps are needed.

3. x < 8,7: This inequality states that x is less than 8.7. Again, it is a simple inequality, and no further steps are needed.

4. |x| = 6,2: This equation states that the absolute value of x is equal to 6.2. To solve this equation, we need to consider two cases:

Case 1: x = 6.2 If x is equal to 6.2, then the absolute value of x is also 6.2.

Case 2: x = -6.2 If x is equal to -6.2, then the absolute value of x is also 6.2.

So, the solution to the equation |x| = 6.2 is x = 6.2 or x = -6.2.

In summary, the solutions to the given conditions are:

1. -10/3 < c < 10/3
2. x > 5
3. x < 8.7
4. x = 6.2 or x = -6.2