If a complex number z lies on the interior or on the boundary of a circle of radius 3 units and centre (-4,0) find the greatest and least values of $\;|z+1| \;.$

Question

$(a)\;3 \; and\;0\qquad(b)\;6\;and\;0\qquad(c)\;4\;and\;1\qquad(d)\;5\;and\;1$