Question

4) |4x - 7| + 6 = 11.​

Answer 1

Ответ:   0,5 ;   3

Пошаговое объяснение:

| 4x-7| = 11 -6

| 4x-7|  = 5

4x-7  = -5 или   4x-7 = 5

4х = -5 +7            4х = 5 + 7

4х = 2                   4х = 12

х = 0,5                    х = 3

Ответ: 0,5 ;   3

Answer 2

Ответ:

x = 3; x = 1/2

Пошаговое объяснение:

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Answer 3

To solve the equation |4x - 7| + 6 = 11, you'll need to isolate the absolute value expression and then solve for x. Here are the steps:

1. Subtract 6 from both sides of the equation to isolate the absolute value expression:

|4x - 7| = 11 - 6 |4x - 7| = 5

2. Now, you have two cases to consider for the absolute value:

Case 1: 4x - 7 is positive: 4x - 7 = 5

Case 2: 4x - 7 is negative: -(4x - 7) = 5

Let's solve each case separately:

Case 1: 4x - 7 = 5

Add 7 to both sides: 4x = 5 + 7 4x = 12

Now, divide by 4: x = 12 / 4 x = 3

Case 2: -(4x - 7) = 5

Distribute the negative sign: -4x + 7 = 5

Subtract 7 from both sides: -4x = 5 - 7 -4x = -2

Now, divide by -4 (remember to flip the inequality sign since you're dividing by a negative number): x = (-2) / (-4) x = 1/2

So, the equation |4x - 7| + 6 = 11 has two solutions:

1. x = 3
2. x = 1/2