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The complement of a set refers to everything that is NOT in the set. A "universe" (a set from which elements may be taken) must always be specified (perhaps implicitly). For example, if your "universe" is the real numbers, and the set you are considering is 0 <= x <= 10 (that is, all real numbers between 0 and 10, inclusive), then the complement is all real numbers that are NOT between 0 and 10 inclusive - in other words, real numbers that are either less than zero, or greater than ten.

The complement of a set refers to everything that is NOT in the set. A "universe" (a set from which elements may be taken) must always be specified (perhaps implicitly). For example, if your "universe" is the real numbers, and the set you are considering is 0 <= x <= 10 (that is, all real numbers between 0 and 10, inclusive), then the complement is all real numbers that are NOT between 0 and 10 inclusive - in other words, real numbers that are either less than zero, or greater than ten.

The complement of a set refers to everything that is NOT in the set. A "universe" (a set from which elements may be taken) must always be specified (perhaps implicitly). For example, if your "universe" is the real numbers, and the set you are considering is 0 <= x <= 10 (that is, all real numbers between 0 and 10, inclusive), then the complement is all real numbers that are NOT between 0 and 10 inclusive - in other words, real numbers that are either less than zero, or greater than ten.

The complement of a set refers to everything that is NOT in the set. A "universe" (a set from which elements may be taken) must always be specified (perhaps implicitly). For example, if your "universe" is the real numbers, and the set you are considering is 0 <= x <= 10 (that is, all real numbers between 0 and 10, inclusive), then the complement is all real numbers that are NOT between 0 and 10 inclusive - in other words, real numbers that are either less than zero, or greater than ten.

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Given a Universal set, U, and a set X, the complement of X in U consists of all elements of U that are not in X.

Note that the complement of the set X will be different in different Universal sets.

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14y ago
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The complement of a set refers to everything that is NOT in the set. A "universe" (a set from which elements may be taken) must always be specified (perhaps implicitly). For example, if your "universe" is the real numbers, and the set you are considering is 0 <= x <= 10 (that is, all real numbers between 0 and 10, inclusive), then the complement is all real numbers that are NOT between 0 and 10 inclusive - in other words, real numbers that are either less than zero, or greater than ten.

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12y ago
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Q: What is complements of a set?
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