If z +4 33 then find the greatest and least values of +1 – InterviewSolution

1.

If z +4 33 then find the greatest and least values of +1

Answer»

|z+4| = |z+1+3| , that will always be ≤ |z+1| +|3|

so, maximum value of |z+1| +3 = 3 => |z+1| ≤ 3-3 = 0therefore minimum value is 0

and minimum value of of |z+1| -3 ≤3=> |z+1| ≤3+3 =6 maximum value is 6

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