Class 11th Maths Textbook Chapter 1: Sets Exercise 4: Venn Diagrams and Operations on Sets Question 6 (ix) Solution

Question

If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find: (ix) (A $\cap$ B) $\cap$ (B $\cup$ C)

Accepted Answer

Find the intersection of sets A and B by finding all common elements from both sets.
 	ext{A $\cap$ B = \{7, 9, 11\}} Find the union of sets B and C by finding all distinct elements from both sets.
 	ext{B $\cup$ C = \{7, 9, 11, 13, 15\}} Find the intersection of sets (A $\cap$ B) and (B $\cup$ C) by finding all common elements from both sets.
 {green}	extbf{Answer: (A $\cap$ B) $\cap$ (B $\cup$ C) = \{7, 9, 11\}}{/green}

Question: 6 (ix)

Answer