Find the complement of the set given that U = {x | x is in I and â3 ⤠x ⤠7}. (Enter your answers as a comma-separated list.) {â3, 0, 3, 4, 6, 7}

The compliment of the set {-3, 0, 3, 4, 6, 7} is {-2, -1, 1, 2, 5}.

Step-by-step explanation:

The Universal Set is given as:

U = {x  | x is in I and -3 ≤ x ≤ 7}

We need to find the compliment of the set {-3, 0, 3, 4, 6, 7}

Compliment of a set is the set of numbers which are not present in the set but are part of the universal set. Here, we can see that the universal set has integers ranging from -3 to 7 i.e.

U = { -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7}

Hence the numbers missing from the given set are:

{-2, -1, 1, 2, 5}

The compliment of the set {-3, 0, 3, 4, 6, 7} is {-2, -1, 1, 2, 5}.

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