If `A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11 , 12 , 13 , 14}` . Find: `(AnnB)nn{BnnC}`

Explanation

We have given `A={1,2,3,4,5}`, `B={4,5,6,7,8}`, `C={7,8,9,10,11}` and `D={10,11,12,13,14}`

Then the intersection of two sets is the largest set that contains all the elements that are common to both the sets.

`\Rightarrow` `AnnB``={1,2,3,4,5}nn{4,5,6,7,8}=``{4, 5}`

And `BnnC``={4,5,6,7,8}nn{7,8,9,10,11}={7,8}`

Now `(AnnB)nn(BnnC)``={4,5,}nn{7,8}={phi}`

Hence we have `(AnnB)nn(BnnC) = {phi}`.