Question

U is the set of positive integers less than 18. G is the set of positive factors of 12. What is the complement of set G in universe U.

Answer 1

`\overline{G}= \{1, 2, 3, 4, 5...11, 13, 14...17\}`

Explanation:

`U = \x \in Z^+,x<18 \`

`G = \x \in Z^+ \`

`\overline{G}= \{1, 2, 3, 4, 5...11, 13, 14...17\}`

Answer 2

Answer: The required complement of set G is {5, 7 , 8, 9, 10, 11, 13, 14, 15, 16, 17}.

Step-by-step explanation: Given that U is the set of positive integers less than 18. G is the set of positive factors of 12.

We are to find the complement of set G is universal set U.

According to the given information, we have

U = {1, 2, 3, . . 17}

and

G = {1, 2, 3, 4, 6, 12}.

Therefore, the complement of set G in set U is given by

`G^\prime=U-G=\{5,7,8,9,10,11,13,14,15,16,17,18\}.`

Thus, the required complement of set G is {5, 7 , 8, 9, 10, 11, 13, 14, 15, 16, 17}.