Solve $\lvert x - 3 \rvert < 2$.

Explanation

1. 01

   $\lvert u \rvert < 2$ means $-2 < u < 2$: $-2 < x - 3 < 2$.

2. 02

   Add 3 throughout: $1 < x < 5$, the numbers within 2 of 3.