Which is the set of numbers less than −12 or greater than 3?Choices:(A)\{x | x > -12 \text{ or } x < -3\} (B){x∣x≤−12 or x≥−3}(C){x∣x≥−12 or x≤−3}(D)\{x | x < -12 \text{ or } x > 3\}
Q. Which is the set of numbers less than −12 or greater than 3?Choices:(A){x∣x>−12 or x<−3}(B){x∣x≤−12 or x≥−3}(C){x∣x≥−12 or x≤−3}(D){x∣x<−12 or x>3}
Understand the problem: Understand the problem. We need to find the set of numbers that are either less than −12 or greater than 3.
Identify inequality signs: Identify the correct inequality signs for the conditions given. For numbers less than −12, we use the "<" sign. For numbers greater than 3, we use the ">" sign.
Translate into set notation: Translate the conditions into set notation. The set of numbers less than −12 is written as \{x | x < -12\}. The set of numbers greater than 3 is written as \{x | x > 3\}.
Combine conditions: Combine the two conditions using the word "or" since we are looking for numbers that satisfy either condition. The correct set notation is {x | x < -12 \text{ or } x > 3}.
Match with choices: Match our set notation with the given choices. The correct choice is (D)\{x | x < -12 \text{ or } x > 3\}.