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 \text{ or } x < -3\} (C){x∣x≥−12 or x≤−3}(D){x∣x≤−12 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. This means we are looking for two separate ranges of numbers, one that is below −12 and one that is above 3.
Identify inequality signs: Identify the correct inequality signs for each condition. For numbers less than −12, we use the "<" sign. For numbers greater than 3, we use the ">" sign.
Combine conditions using operator: Combine the two conditions using the "or" operator as specified in the problem. The set notation for numbers less than −12 or greater than 3 is \{x \,|\, x < -12 \,\text{or}\, x > 3\}.
Match set notation with choices: Match our set notation with the given choices. The correct set notation {x | x < -12 \text{ or } x > 3} corresponds to choice (A).