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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
Transcribed Image Text: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.

Advanced Math homework question answer, step 1, image 1

Here Z is the set of integers.

Step 2

Evaluate the elements in set A as follows.

Advanced Math homework question answer, step 2, image 1

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