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GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 9

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Which of the following statements is $\textbf{TRUE}$?

  1. For all sets $A, B$, and $C, A-(B-C)=(A-B)-C$.
  2. For all sets $A, B$, and $C,(A-B) \cap(C-B)=(A \cap C)-B$.
  3. For all sets $A, B$, and $C,(A-B) \cap(C-B)=A-(B \cup C)$.
  4. For all sets $A, B$, and $C$, if $A \cap C=B \cap C$ then $A=B$.
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Best way to solve these questions in less amount of time would be using venn diagrams and point out each part with some number and check it for each option whether LHS=RHS or not

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GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 10
Which of the following statements is $\textbf{FALSE}$? $C-(B \cup A)=(C-B)-A$ $A-(C \cup B)=(A-B)-C$ $B-(A \cup C)=(B-C)-A$ $A-(B \cup C)=(B-C)-A$
Which of the following statements is $\textbf{FALSE}$?$C-(B \cup A)=(C-B)-A$$A-(C \cup B)=(A-B)-C$$B-(A \cup C)=(B-C)-A$$A-(B \cup C)=(B-C)-A$
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