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: `AuuBuuD`

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 union of two sets can be defined as the set that consists of all elements belonging to either one set or other set (or both),

`\Rightarrow` `AuuB``={1,2,3,4,5,}uu{4,5,6,7,8}=``{1,2,3,4, 5, 6, 7, 8}`

`\Rightarrow` `AuuBuuD``={1,2,3,4, 5, 6, 7, 8}uu{10,11,12,13,14}={1,2,3,4,5,6,7,8,10,11,12,13,14}`

Hence we have `AuuBuuD = {1,2,3,4, 5, 6, 7, 8, 10, 11,12,13,14}`.