Problem

Simplify the expression \(|2x - 3| - |x - 1|\) when \(x < 1\)

Answer

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Answer

Step 4: Combine like terms to get \(-x + 2\)

Steps

Step 1 ：Step 1: For \(x < 1\), the absolute value of \(|2x - 3|\) will be \(-2x + 3\) and \(|x - 1|\) will be \(1 - x\)

Step 2 ：Step 2: Substitute these values into the original expression, we get \(-2x + 3 - (1 - x)\)

Step 3 ：Step 3: Simplify the expression to get \(-2x + 3 - 1 + x\)

Step 4 ：Step 4: Combine like terms to get \(-x + 2\)

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