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AssignmentMultiple Choice

Precision in Measurement

Question 1 • AZ-Common Core Algebra II A

Given that the universal set is all real numbers and set S is defined as the set of all x such that x is less than 5, which of the following is the complement of S?S = {x | x < 5}

Answer
A
{x | x ≠ 5}
B
{6, 7, 8...}
C
{x | x > 5}
D
{x | x ≥ 5}

Explanation

The complement of S contains all real numbers that are not in S. Since S includes every real number less than 5, its complement includes 5 and every number greater than 5. Thus the complement is {x | x ≥ 5}, choice D.

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