Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3 - Page 83: 144

Answer

$\text{(X) is a proper subset of (Y) }$$\quad \approx \quad (X \subset Y)$ $\text{This means X is a subset of Y, but X ≠ Y.}$ $\text{in other words all element of X exists in Y but The reverse is incorrect}$ See the following Venn diagram for proper subsets $ (X \subset Y)$:
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Work Step by Step

$\text{(X) is a proper subset of (Y) }$$\quad \approx \quad (X \subset Y)$ $\text{This means X is a subset of Y, but X ≠ Y.}$ $\text{in other words all element of X exists in Y but The reverse is incorrect}$ See the following Venn diagram for proper subsets $ (X \subset Y)$:
Small 1563924049
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