Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
Advertisement Remove all ads

For Three Sets A, B and C, Show that a ∩ B = a ∩ C - Mathematics

For three sets AB and C, show that \[A \cap B = A \cap C\]

Advertisement Remove all ads

Solution

Let A = {2, 4, 5, 6},  B = {6, 7, 8, 9} and C = {6, 10, 11, 12,13} 

\[So, A \cap B = \left\{ 6 \right\} \text{ and } A \cap C = \left\{ 6 \right\}\]
\[\text{ Hence }, A \cap B = A \cap C \text{ but } B \neq C\]

Concept: Universal Set
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.6 | Q 6.1 | Page 27
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×