What does the set \{x | x > -9 \text{ and } x < 1\} represent?Choices:(A)all numbers less than −9 and greater than 1(B)all numbers greater than −9 and less than 1(C)all numbers greater than −9 and less than or equal to1(D)all numbers less than −9 and greater than or equal to 1
Q. What does the set {x∣x>−9 and x<1} represent?Choices:(A)all numbers less than −9 and greater than 1(B)all numbers greater than −9 and less than 1(C)all numbers greater than −9 and less than or equal to 1(D)all numbers less than −9 and greater than or equal to 1
Understand Set Notation: Understand the set notation and the conditions it represents.The 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 and at the same time less than 1.
Match Set Notation: Match the set notation to the correct choice.We need to find the choice that correctly describes all numbers that are greater than −9 and less than 1. Let's analyze the choices given:(A) all numbers less than −9 and greater than 1 - This choice is incorrect because it describes numbers that are both less than −9 and greater than 1, which is not possible.(B) all numbers greater than −9 and less than 1 - This choice correctly matches the set notation \{x | x > -9 \text{ and } x < 1\}.(C) all numbers greater than −9 and less than or equal to 1 - This choice is incorrect because it includes the number 1, which is not included in the set \{x | x > -9 \text{ and } x < 1\}.(D) all numbers less than −9 and greater than or equal to 1 - This choice is incorrect for the same reason as choice (A); it describes an impossible set of numbers.
Select Correct Answer: Select the correct answer based on the analysis in Step 2.The correct choice is (B) all numbers greater than −9 and less than 1, as it accurately represents the set \{x | x > -9 \text{ and } x < 1\}.