Question

|3х+2|-1=4 даю 30 баллов.

Answer 1

Ось рішення на приклад

Answer 2

Ответ:

|3x+2|-1=4

5х= 4+1

5х= 5

х= 5:5

х=1

Answer 3

To solve the equation |3x + 2| - 1 = 4, we'll isolate the absolute value term and then solve for x. Here's the step-by-step solution:

1. Add 1 to both sides of the equation: |3x + 2| = 4 + 1 |3x + 2| = 5

2. Break the equation into two cases: positive and negative.

   Case 1: (3x + 2) is positive: In this case, the absolute value term remains unchanged. 3x + 2 = 5

   Case 2: (3x + 2) is negative: In this case, we'll need to change the sign of the absolute value term. -(3x + 2) = 5

3. Solve each case separately:

   Case 1: 3x + 2 = 5 Subtract 2 from both sides: 3x = 5 - 2 3x = 3 Divide both sides by 3: x = 3/3 x = 1

   Case 2: -(3x + 2) = 5 Distribute the negative sign: -3x - 2 = 5 Subtract 2 from both sides: -3x = 5 - 2 -3x = 3 Divide both sides by -3: x = 3/(-3) x = -1

So the solutions to the equation |3x + 2| - 1 = 4 are x = 1 and x = -1.

Now, regarding the points you mentioned, the context is unclear. If you have a grading system where solving this equation correctly earns you 30 points, then you can assign yourself those points. However, it's important to note that the point value is subjective and can vary depending on the grading criteria or context of the assignment.