What does the set {x∣x≥−5 and x≤3} represent?Choices:(A)all numbers greater than or equal to −5 and less than 3(B)all numbers greater than or equal to −5 and less than or equal to3(C)all numbers less than −5 and greater than 3(D)all numbers less than −5 and greater than 3
Q. What does the set {x∣x≥−5 and x≤3} represent?Choices:(A)all numbers greater than or equal to −5 and less than 3(B)all numbers greater than or equal to −5 and less than or equal to 3(C)all numbers less than −5 and greater than 3(D)all numbers less than −5 and greater than 3
Understand set notation: Understand the set notation. The set x∣x≥−5 and x≤3 includes all numbers x that satisfy two conditions: x is greater than or equal to −5, and x is less than or equal to 3.
Identify correct interval: Identify the correct interval. The notation x≥−5 means all numbers that are −5 or higher, and x≤3 means all numbers that are 3 or lower. The set includes all numbers that are both greater than or equal to −5 and less than or equal to 3 at the same time.
Match with correct choice: Match the set with the correct choice. The set represents an interval on the number line from −5 to 3, including both endpoints. This corresponds to all numbers greater than or equal to −5 and less than or equal to 3.