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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