Problem

Solve the absolute value equation \( |2x - 5| = 3 \).

Answer

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Answer

Step 2: Solve the equations separately. For \(2x - 5 = 3\), we add 5 to both sides to get \(2x = 8\), then divide by 2 to get \(x = 4\). For \(2x - 5 = -3\), we add 5 to both sides to get \(2x = 2\), then divide by 2 to get \(x = 1\).

Steps

Step 1 ：Step 1: Rewrite the absolute value equation as a piecewise function. So, we have \(2x - 5 = 3\) and \(2x - 5 = -3\).

Step 2 ：Step 2: Solve the equations separately. For \(2x - 5 = 3\), we add 5 to both sides to get \(2x = 8\), then divide by 2 to get \(x = 4\). For \(2x - 5 = -3\), we add 5 to both sides to get \(2x = 2\), then divide by 2 to get \(x = 1\).

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