Please solve the screenshot with typefont and explain each step. Thank you! 3. List up all elements in the set A\B whereA = {r € Z[0.01 < 2² < 100}, B= {r € Z]0.01 < r³ < 100},where Z is the set of integers.

Answered: 3. List up all elements in the set A\B…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 22E

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Please solve the screenshot with typefont and explain each step. Thank you!

3. List up all elements in the set A\B where
A = {r € Z[0.01 < 2² < 100}, B= {r € Z]0.01 < r³ < 100},
where Z is the set of integers.

Expert Solution

Step 1

Difference of sets: The difference of any two sets A and B is given by A/B = A – B.

In other words, the set A/B contains the elements which are present in A but not in B.

The given sets are as follows.

Here Z is the set of integers.

Step 2

Evaluate the elements in set A as follows.

Step by step

Solved in 4 steps with 5 images

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3. List up all elements in the set A\B where A = {r € Z[0.01 < 2² < 100}, B= {r € Z]0.01 < r³ < 100}, where Z is the set of integers.