The Universal Set = { x ∈Z | -4 ≤ x < 4} and A = {0}.What is the complement of A?Group of answer choices{-4, -3, -2, -1, 0, 1, 2, 3}{-3, -2, -1, 1, 2, 3}{-4, -3, -2, -1, 1, 2, 3}{-4, -3, -2, -1, 1, 2, 3, 4}
Question
The Universal Set = { x ∈Z | -4 ≤ x < 4} and A = {0}.What is the complement of A?Group of answer choices{-4, -3, -2, -1, 0, 1, 2, 3}{-3, -2, -1, 1, 2, 3}{-4, -3, -2, -1, 1, 2, 3}{-4, -3, -2, -1, 1, 2, 3, 4}
Solution
The complement of a set A, denoted by A', is the set of all elements in the universal set that are not in A.
Given that the Universal Set = { x ∈Z | -4 ≤ x < 4} and A = {0}, we can list out the elements in the Universal Set. They are {-4, -3, -2, -1, 0, 1, 2, 3}.
Since A = {0}, the complement of A (A') would be the set of all elements in the Universal Set that are not in A.
Therefore, A' = {-4, -3, -2, -1, 1, 2, 3}.
So, the correct answer is {-4, -3, -2, -1, 1, 2, 3}.
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