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If ∣z + 4∣ ≤ 3, then the greatest and the least value of ∣z + 1∣ are |
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Answer» ∣z + 4∣ ≤ 3 ⇒−3 ≤ z + 4 ≤ 3 ⇒−6 ≤ z + 1 ≤ 0 ⇒0 ≤ −(z + 1) ≤ 6 ⇒0 ≤ ∣z + 1∣ ≤ 6 Hence, the greatest and least values are 6 and 0. |
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