Discussion Forum

If $|z+4|  \leq 3$, then the greatest and the least value of |z+1|  are 

Answer:

Explanation:

$|z+4|\leq 3 \Rightarrow -3\leq z+4\leq3$

$\Rightarrow$   $-6\leq z+1\leq0$

$\Rightarrow$  $0\leq -(z+1)\leq 6$

$\Rightarrow$   $0\leq |z+1|\leq 6$

 Hence, the greatest  and least values are 6 and 0