|X–2|=3,1

To solve the equation \(|X - 2| = 3.1\), you need to consider the definition of absolute value. The equation \(|A| = B\) means that \(A = B\) or \(A = -B\).

1. First Case: \[ X - 2 = 3.1 \] Add 2 to both sides: \[ X = 3.1 + 2 = 5.1 \]

2. Second Case: \[ X - 2 = -3.1 \] Add 2 to both sides: \[ X = -3.1 + 2 = -1.1 \]

Thus, the solutions to the equation \(|X - 2| = 3.1\) are: \[ X = 5.1 \quad \text{and} \quad X = -1.1 \]