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What does the set \{x | x < 15 \text{ or } x \geq 19\} represent?\newlineChoices:\newline(A)all numbers less than 1515 or greater than or equal to 1919\newline(B)all numbers less than 1515 or greater than 1919\newline(C)all numbers greater than or equal to 1515 or less than 1919\newline(D)all numbers greater than or equal to 1515 or less than or equal to 1919

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Q. What does the set {x∣x<15 or x≥19}\{x | x < 15 \text{ or } x \geq 19\} represent?\newlineChoices:\newline(A)all numbers less than 1515 or greater than or equal to 1919\newline(B)all numbers less than 1515 or greater than 1919\newline(C)all numbers greater than or equal to 1515 or less than 1919\newline(D)all numbers greater than or equal to 1515 or less than or equal to 1919
  1. Understand set notation: Understand the set notation. The set {x | x < 15 \text{ or } x \geq 19} uses the ＂or＂ logical operator, which means we are looking for numbers that satisfy either one of the conditions: being less than 1515 or being greater than or equal to 1919.
  2. Identify correct choice: Identify the correct choice that matches the set notation. We need to find the choice that correctly describes all numbers that are either less than 1515 or greater than or equal to 1919.
  3. Compare choices: Compare the choices with the set notation. \newline- Choice (A) says ＂all numbers less than 1515 or greater than or equal to 1919,＂ which matches the set notation \{x | x < 15 \text{ or } x \geq 19\}.\newline- Choice (B) says ＂all numbers less than 1515 or greater than 1919,＂ which is incorrect because it excludes the numbers that are exactly 1919.\newline- Choice (C) says ＂all numbers greater than or equal to 1515 or less than 1919,＂ which is incorrect because it includes numbers between 1515 and 1919, which are not part of the original set.\newline- Choice (D) says ＂all numbers greater than or equal to 1515 or less than or equal to 1919,＂ which is incorrect for the same reason as choice (C).
  4. Select correct answer: Select the correct answer based on the comparison in Step 33. The correct choice is (A) ＂all numbers less than 1515 or greater than or equal to 1919.＂

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