(A − B) ∩ B = (A ∩ Bc ) ∩ B by the _______ law _____ = ______by the ______ law _____ = ______by the ______ law _____ = ______by the ______ law _____ = ______by the ______ law
(A − B) ∩ B = (A ∩ Bc ) ∩ B by the _______ law _____ = ______by the ______ law _____ = ______by the ______ law _____ = ______by the ______ law _____ = ______by the ______ law
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
- Consider the statement
For all sets A and B, (A − B) ∩ B = ∅.
- Complete the proof begun below in which the given statement is derived algebraically from the properties on the attached sheet. Be sure to give a reason for every step that exactly justifies what was done in the step:
Proof: Let A and B be any sets.
- (A − B) ∩ B = (A ∩ Bc ) ∩ B by the _______ law
- _____ = ______by the ______ law
- _____ = ______by the ______ law
- _____ = ______by the ______ law
- _____ = ______by the ______ law
The number of lines in the outline shown above are just meant to be suggestive. To complete the proof you may need more or less. Use however many lines that you need
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