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What does the set \{x | x > -9 \text{ and } x < 1\} represent?\newlineChoices:\newline(A)all numbers less than 9-9 and greater than 11 \newline(B)all numbers greater than 9-9 and less than 11 \newline(C)all numbers greater than 9-9 and less than or equal to 11 \newline(D)all numbers less than 9-9 and greater than or equal to 11

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Q. What does the set {xx>9 and x<1}\{x | x > -9 \text{ and } x < 1\} represent?\newlineChoices:\newline(A)all numbers less than 9-9 and greater than 11 \newline(B)all numbers greater than 9-9 and less than 11 \newline(C)all numbers greater than 9-9 and less than or equal to 11 \newline(D)all numbers less than 9-9 and greater than or equal to 11
  1. Understand Set Notation: Understand the set notation and the conditions it represents.\newlineThe set {x | x > -9 \text{ and } x < 1} uses the inequality symbols '>' and '<' to define a range of numbers. The symbol '>' means 'greater than', and the symbol '<' means 'less than'. The set includes all numbers that are greater than 9-9 and at the same time less than 11.
  2. Match Set Notation: Match the set notation to the correct choice.\newlineWe need to find the choice that correctly describes all numbers that are greater than 9-9 and less than 11. Let's analyze the choices given:\newline(A) all numbers less than 9-9 and greater than 11 - This choice is incorrect because it describes numbers that are both less than 9-9 and greater than 11, which is not possible.\newline(B) all numbers greater than 9-9 and less than 11 - This choice correctly matches the set notation \{x | x > -9 \text{ and } x < 1\}.\newline(C) all numbers greater than 9-9 and less than or equal to 11 - This choice is incorrect because it includes the number 11, which is not included in the set \{x | x > -9 \text{ and } x < 1\}.\newline(D) all numbers less than 9-9 and greater than or equal to 11 - This choice is incorrect for the same reason as choice (A); it describes an impossible set of numbers.
  3. Select Correct Answer: Select the correct answer based on the analysis in Step 22.\newlineThe correct choice is (B) all numbers greater than 9-9 and less than 11, as it accurately represents the set \{x | x > -9 \text{ and } x < 1\}.

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