# If |z + 4| ≤ 3, t

6 and 0

Explanation

As we all know that,

|z1 +z2 |≤|z1 |+|z2 | and |z1 +z2 |≥|z1 |-|z2 |

Suppose,

Z1 = z+4

Z2 = -3

| z1|-| z2|≤| z1+ z2|≤ | z1|+| z2|

|z+4|-|-3|≤|z+4-3|≤ |z+4|+|-3|

|z+4|-3≤|z+1|≤ |z+4|+3

3-3≤|z+1|≤ 3+3 (Given-|z + 4| ≤ 3)

0≤|z+1|≤ 6

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