Question

1) |2x-5|=0 2) |4x-3|=0 3) |2-3x|=0 4) |4-5x|=0 5) |3x+1|+8=8 6) |9x+2|-18=(-18)

Answer 1

Только шестой не тот пример
Во второй картинке шестой есть

Answer 2

Let's solve each of these absolute value equations one by one:

1. |2x - 5| = 0: To solve this equation, we set the expression inside the absolute value bars equal to zero and solve for x: 2x - 5 = 0 2x = 5 x = 5/2 So, the solution to this equation is x = 5/2.

2. |4x - 3| = 0: Similar to the previous equation, we set the expression inside the absolute value bars equal to zero and solve for x: 4x - 3 = 0 4x = 3 x = 3/4 So, the solution to this equation is x = 3/4.

3. |2 - 3x| = 0: Setting the expression inside the absolute value bars equal to zero: 2 - 3x = 0 -3x = -2 x = 2/3 So, the solution to this equation is x = 2/3.

4. |4 - 5x| = 0: Setting the expression inside the absolute value bars equal to zero: 4 - 5x = 0 -5x = -4 x = 4/5 So, the solution to this equation is x = 4/5.

5. |3x + 1| + 8 = 8: To solve this equation, isolate the absolute value expression: |3x + 1| = 0 Since the absolute value of any real number cannot be negative, the only way for the absolute value to be zero is when the expression inside the absolute value bars is zero. So, set the expression inside the absolute value bars equal to zero: 3x + 1 = 0 3x = -1 x = -1/3 The solution to this equation is x = -1/3.

6. |9x + 2| - 18 = -18: To solve this equation, isolate the absolute value expression: |9x + 2| = 0 Again, the absolute value can only be zero if the expression inside the absolute value bars is zero. So, set the expression inside the absolute value bars equal to zero: 9x + 2 = 0 9x = -2 x = -2/9 The solution to this equation is x = -2/9.

In summary, the solutions to the given equations are as follows:

1. x = 5/2
2. x = 3/4
3. x = 2/3
4. x = 4/5
5. x = -1/3
6. x = -2/9