Question

A)|2x-x+4/7|=-3b)|x+6|=9​

Answer 1

Ответ:

а) X принадлежит пустому множеству.

б) Х = 3; Х = -15

Объяснение:

а) Т.к. модуль(расстояние) не может быть отрицательным.

б) { Х + 6 = 9 { Х = 3

{ -Х -6 = 9. { Х = -15

{ - знак системы.

Answer 2

Let's solve each equation step by step:

A) |2x - x + 4/7| = -3

First, let's simplify the expression inside the absolute value brackets:

|2x - x + 4/7| = -3 |3x + 4/7| = -3

Since the absolute value of any real number is always non-negative, it cannot equal a negative value like -3. Therefore, there are no solutions to this equation.

B) |x + 6| = 9

To solve this equation, we need to consider both the positive and negative cases for the expression inside the absolute value brackets.

Case 1: (x + 6) = 9 Solving for x in this case: x + 6 = 9 x = 9 - 6 x = 3

Case 2: -(x + 6) = 9 Solving for x in this case: -x - 6 = 9 -x = 9 + 6 -x = 15 x = -15 (multiplying both sides by -1)

So the solutions to the equation are x = 3 and x = -15.

Therefore, the solutions to the equations are: A) No solutions B) x = 3 and x = -15