Q. Which is the set of numbers less than −13?Choices:(A){x∣x<−13}(B){x∣x=−13}(C){x∣x≤−13}(D){x∣x>−13}
Understand the question: Understand the question. We need to find the set of numbers that are less than −13. This means we are looking for an inequality that does not include −13 itself, but every number that is smaller than −13.
Analyze the choices: Analyze the choices given. We have four options:(A) {x | x < -13} (B) x∣x=−13(C) x∣x≤−13(D) {x | x > -13} We need to select the one that correctly represents all numbers less than −13.
Eliminate incorrect options: Eliminate the incorrect options. Option (B) x∣x=−13 only includes the number −13, which is not less than −13.Option (C) x∣x≤−13 includes −13 and all numbers less than −13, but we need strictly less than −13.Option (D) {x | x > -13} represents all numbers greater than −13, which is the opposite of what we are looking for.
Choose the correct option: Choose the correct option. Option (A) \{x | x < -13\} is the correct representation for all numbers that are less than −13. It does not include −13 itself and includes all numbers that are smaller than −13.