Question

|3x - 5 | >7 СРОЧНО нужен ответ ​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the inequality |3x - 5| > 7, we need to consider two cases since the absolute value can result in two possible solutions:

Case 1: (3x - 5) > 7 To solve for x in this case, add 5 to both sides of the inequality: 3x - 5 + 5 > 7 + 5 3x > 12

Now, divide both sides by 3: x > 12/3 x > 4

Case 2: -(3x - 5) > 7 To solve for x in this case, distribute the negative sign: -3x + 5 > 7

Subtract 5 from both sides of the inequality: -3x > 7 - 5 -3x > 2

Now, divide both sides by -3. Since we are dividing by a negative number, the inequality sign will flip: x < 2/(-3) x < -2/3

Therefore, the solutions for the inequality |3x - 5| > 7 are x > 4 and x < -2/3.

In interval notation, the solution can be represented as (-∞, -2/3) U (4, ∞).