GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 10

GO Classes asked Apr 10 • edited Apr 10 by shadymademe

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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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GO Classes asked Apr 10 • edited Apr 10 by shadymademe

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Deepak Poonia

commented Apr 11

Detailed Video Solution: https://www.youtube.com/watch?v=v5v-AfpwicQ&list=PLIPZ2_p3RNHige8KFyCc4uWDx2uXEq1f0&index=6

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Srken

commented May 3

for deeper understanding of the concept we can use set identities and the laws to solve each option or to get solution in less time it would be better to use venn diagrams.

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theabhi100

commented 6 days ago

yes

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GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 6
Which one of the following is/are true? $R \cap S=(R \cup S)-[(R-S) \cup(S-R)]$ $R \cup S=(R \cap S)-[(R-S) \cup(S-R)]$ $R \cap S=(R \cup S)-[(R-S) \cap(S-R)]$ $R \cap S=(R \cup S) \cup(R-S)$

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GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 7
Let $A$ and $B$ be sets in a finite universal set $U$. Given the following : $|A-B|,|A \oplus B|,|A|+|B|$, and $|A \cup B|$ Which of the following is in order of increasing size ? $|A-B|<|A \oplus B|<|A|+|B|<|A \cup B|$ ... $|A-B|<|A \oplus B|<|A \cup B|<|A|+|B|$

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GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 8
Let $A=\{0,1\} \times\{0,1\}$ and $B=\{a, b, c\}$. Suppose $A$ is listed in lexicographic order based on $0<1$ and $B$ is in alphabetic order. If $A \times B \times A$ is listed in lexicographic order, then the next element after $((1,0), c,(1,1))$ is $((1,0), a,(0,0))$ $((1,1), c,(0,0))$ $((1,1), a,(0,0))$ $((1,1), a,(1,1))$

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GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 9
Which of the following statements is $\textbf{TRUE}$? For all sets $A, B$, and $C, A-(B-C)=(A-B)-C$. For all sets $A, B$, and $C,(A-B) \cap(C-B)=(A \cap C)-B$. For all sets $A, B$, and $C,(A-B) \cap(C-B)=A-(B \cup C)$. For all sets $A, B$, and $C$, if $A \cap C=B \cap C$ then $A=B$.

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exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true

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