Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
19.4k views
in Sets, Relations and Functions by (48.8k points)
closed by

A, B and C are subsets of Universal Set U. If A = {2, 4, 6, 8, 12, 20}, B = {3, 6, 9, 12, 15}, C = {5, 10, 15, 20} and U is the set of all whole numbers, draw a Venn diagram showing the relation of U, A, B and C.

1 Answer

+1 vote
by (47.3k points)
selected by
 
Best answer

According to the question,

A = {2, 4, 6, 8, 12, 20}, B = {3, 6, 9, 12, 15}, C = {5, 10, 15, 20}

Here, U is a universal set

Therefore,

⇒ A ∩ B = {2, 4, 6, 8, 12, 20}∩{3, 6, 9, 12, 15}

= {6, 12},

⇒ B ∩ C = {3, 6, 9, 12, 15}∩{5, 10, 15, 20}

= {15},

⇒ A ∩ C = {2, 4, 6, 8, 12, 20}∩{5, 10, 15, 20}

= {20},

⇒ A ∩ B ∩ C = {2, 4, 6, 8, 12, 20}∩{3, 6, 9, 12, 15}∩{5, 10, 15, 20}

= {}

Hence, the Venn diagram showing relation of given sets is:

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...