# Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3 - Page 83: 158

$(A \cup B) \subseteq A$ $\text{The statement is false}$ $Because (A \cup B) \text { contains the elements of } A \text { and also the elements of } B .$ $\therefore (A \cup B) \text { never become a subset of}$ $A$ --- $\text{to make the statement true we make a necessary change(s) as follow:}$ $A \subseteq(A \cup B)$ $\text{the above statement always be true because (A) always become a subset}$ $\text{of }$$(A \cup B) #### Work Step by Step (A \cup B) \subseteq A \text{The statement is false} Because (A \cup B) \text { contains the elements of } A \text { and also the elements of } B . \therefore (A \cup B) \text { never become a subset of} A --- \text{to make the statement true we make a necessary change(s) as follow:} A \subseteq(A \cup B) \text{the above statement always be true because (A) always become a subset} \text{of }$$ (A \cup B)$

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