Solve `|2^x-1|+| 4-2^x| lt 3`

Explanation

To solve the inequality \( |2^x - 1| + |4 - 2^x| < 3 \), we will follow a systematic approach by considering different cases based on the values of \( 2^x \).

### Step 1: Substitute \( t = 2^x \)
Let \( t = 2^x \). Then, we need to solve the inequality:
\[ |t - 1| + |4 - t| < 3 \]

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