Find the complement of the set given that U = x is in I and −3 ≤ x ≤ 6.

Question

Find the complement of the set given that U = x .

Answer 1

Uc = x

Explanation:

The complement of a set is another set with all the elements out of the original set. Then, we have the set

U = x is in I and -3≤x≤6

so, the complement will be all the x values in I to the left of -3 and to the right of 6, without includind the -3 and 6. In set terms it is

Uc = x or

Uc = x is in I and x is in (-∞,-3) U (6,∞)