3.6. If |z| = 2, use the triangle inequality to show that |Im(1 −z+z²)| ≤ 7 and |z¹−4z²+3| ≥ 3. 3.7. Prove that if |z| = 3, then 5 13 ≤ 2z - 1 4+22 7

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3.6. If |z| = 2, use the triangle inequality to show that
Im(1-7 +2²)| ≤7 and 24-42² +3| ≥ 3.
3.7. Prove that if |z| = 3, then
5
13
≤
2z - 1
4+2²
VI
7
Transcribed Image Text:3.6. If |z| = 2, use the triangle inequality to show that Im(1-7 +2²)| ≤7 and 24-42² +3| ≥ 3. 3.7. Prove that if |z| = 3, then 5 13 ≤ 2z - 1 4+2² VI 7
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