If $| z + 4 | = 3$ , find the greatest possible value of $| z - 7 |$ .

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Solution

$| z + 4 | = 3$
$\Rightarrow | z - 7 + 11 | = 3$
$\Rightarrow | z - 7 | - 11 \leq 3$
$\Rightarrow | z - 7 | \leq 14$
Ans: 14

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