1) If $|z+4| \leq 3$, then the greatest and the least value of |z+1| are A) -1,6 B) 6,0 C) 6,3 D) none of these Answer: Option BExplanation:$|z+4|\leq 3 \Rightarrow -3\leq z+4\leq3$ $\Rightarrow$ $-6\leq z+1\leq0$ $\Rightarrow$ $0\leq -(z+1)\leq 6$ $\Rightarrow$ $0\leq |z+1|\leq 6$ Hence, the greatest and least values are 6 and 0
