The given equations are:|x| = 5|x + 1| = 2|x + 3| = 0|x - 2| = -1
Solving each equation one by one:
|x| = 5x = 5 or x = -5
|x + 1| = 2x + 1 = 2 or x + 1 = -2x = 1 or x = -3
|x + 3| = 0This equation has no real solutions as the absolute value of a number is always greater than or equal to 0.
|x - 2| = -1This equation has no real solutions as the absolute value of a number is always greater than or equal to 0.
Therefore, the solutions to the given equations are:x = 1, -3, 5, -5.
The given equations are:
|x| = 5
|x + 1| = 2
|x + 3| = 0
|x - 2| = -1
Solving each equation one by one:
|x| = 5
x = 5 or x = -5
|x + 1| = 2
x + 1 = 2 or x + 1 = -2
x = 1 or x = -3
|x + 3| = 0
This equation has no real solutions as the absolute value of a number is always greater than or equal to 0.
|x - 2| = -1
This equation has no real solutions as the absolute value of a number is always greater than or equal to 0.
Therefore, the solutions to the given equations are:
x = 1, -3, 5, -5.