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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 55E
icon
Related questions
Question

i need clear ans by hand and solve very very fast in 20 min and thank you | ᴅʏʙᴀʟᴀ ?✨؛

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
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL