Let A = {(x, y) = R²: 2-2-2y < (2-x)(1-y)}. Give (with proof) a simple description of A (your description can involve the signs of r and y).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 30E
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Problem 6 needed By hand solution needed Kindly provide me neat and clean solution in the order to get positive feedback please
6. Let A = {(x, y) = R²: 2-2-2y < (2-x)(1-y)}. Give (with proof) a simple description of A (your
description can involve the signs of a and y).
For the next two problems: Draw Venn diagrams to make a conjecture about whether the statement
about arbitrary sets is true or false. Then either prove or give a counterexample (your counterexample
must include specific sets-a Venn Diagram is not enough). You do not need to include the Venn
diagrams in your solutions.
7. AU (B-C) = (AUB) - (AUC)
8. An (B-C)= (An B)-(Anc)
Transcribed Image Text:6. Let A = {(x, y) = R²: 2-2-2y < (2-x)(1-y)}. Give (with proof) a simple description of A (your description can involve the signs of a and y). For the next two problems: Draw Venn diagrams to make a conjecture about whether the statement about arbitrary sets is true or false. Then either prove or give a counterexample (your counterexample must include specific sets-a Venn Diagram is not enough). You do not need to include the Venn diagrams in your solutions. 7. AU (B-C) = (AUB) - (AUC) 8. An (B-C)= (An B)-(Anc)
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