what is A intersection (B union C) ?

Question : What is A intersection (B union C) ?Solution :Given A={x:x/2∈Z, 0≤x≤10}=> A={0,2,4,6,8,10}B ={x:x is a prime number of one digit}=> B ={2,3,5,7}and C={x:x/3∈N, x≤12}=> C ={3,6,9,12}Hence B∪C ={2,3,5,7}∪{3,6,9,12} ={2,3,5,6,7,9,12}Therefore A∩(B∪C)={0,2,4,6,8,10}∩{2,3,5,6,7,9,12}=> A∩(B∪C)={2,6}Hence the option (A) is correct.

This Question has been answered. 

Please Subscribe to See Answer or To Get Homework Help