To solve the inequality |z - 3| < 2, we can break it down into two separate inequalities based on the definition of absolute value:
1.Step 1: Rewrite the absolute value inequality:
-2 < z - 3 < 2
2.Step 2: Split this into two parts:
From z - 3 < 2:
z < 2 + 3
z < 5
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