State whether the following statement is true or false. Justify your answer.
${2, 3, 4, 5}$ and ${3, 6}$ are disjoint sets.
${2, 3, 4, 5}$ and ${3, 6}$ are disjoint sets.
(B) False.
Two sets are disjoint if their intersection is the empty set,i.e.,$A \cap B = \emptyset$.
Given sets are $A = \{2, 3, 4, 5\}$ and $B = \{3, 6\}$.
Since $3 \in A$ and $3 \in B$,the intersection is $A \cap B = \{3\}$.
Since $A \cap B \neq \emptyset$,the sets are not disjoint.
Two sets are disjoint if their intersection is the empty set,i.e.,$A \cap B = \emptyset$.
Given sets are $A = \{2, 3, 4, 5\}$ and $B = \{3, 6\}$.
Since $3 \in A$ and $3 \in B$,the intersection is $A \cap B = \{3\}$.
Since $A \cap B \neq \emptyset$,the sets are not disjoint.
Explore More
Similar Questions
Draw the appropriate Venn diagram for the following set operation: $A^{\prime} \cap B^{\prime}$.
Easy
View SolutionIf $A$ and $B$ are two sets,then $(A - B) \cup (B - A) \cup (A \cap B)$ is equal to
Easy
View SolutionIf $A = \{3, 6, 9, 12, 15, 18, 21\}$,$B = \{4, 8, 12, 16, 20\}$,$C = \{2, 4, 6, 8, 10, 12, 14, 16\}$,and $D = \{5, 10, 15, 20\}$,find $B - C$.
Easy
View SolutionIf $A = \{3, 5, 7, 9, 11\}$,$B = \{7, 9, 11, 13\}$,$C = \{11, 13, 15\}$,and $D = \{15, 17\}$,find $A \cap D$.
Easy
View SolutionIf $A = \{1, 2, 3, 4\}$,$B = \{3, 4, 5, 6\}$,$C = \{5, 6, 7, 8\}$,and $D = \{7, 8, 9, 10\}$,find $A \cup B \cup D$.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo