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Which is the set of numbers less than 13-13?\newlineChoices:\newline(A)\{x | x < -13\} \newline(B){xx=13}\{x | x = -13\} \newline(C){xx13}\{x | x \leq -13\} \newline(D)\{x | x > -13\}

Full solution

Q. Which is the set of numbers less than 13-13?\newlineChoices:\newline(A){xx<13}\{x | x < -13\} \newline(B){xx=13}\{x | x = -13\} \newline(C){xx13}\{x | x \leq -13\} \newline(D){xx>13}\{x | x > -13\}
  1. Understand the question: Understand the question. We need to find the set of numbers that are less than 13-13. This means we are looking for an inequality that does not include 13-13 itself, but every number that is smaller than 13-13.
  2. Analyze the choices: Analyze the choices given. We have four options:\newline(A) {x | x < -13} \newline(B) xx=13{x | x = -13} \newline(C) xx13{x | x \leq -13} \newline(D) {x | x > -13} \newlineWe need to select the one that correctly represents all numbers less than 13-13.
  3. Eliminate incorrect options: Eliminate the incorrect options. \newlineOption (B) xx=13{x | x = -13} only includes the number 13-13, which is not less than 13-13.\newlineOption (C) xx13{x | x \leq -13} includes 13-13 and all numbers less than 13-13, but we need strictly less than 13-13.\newlineOption (D) {x | x > -13} represents all numbers greater than 13-13, which is the opposite of what we are looking for.
  4. Choose the correct option: Choose the correct option. \newlineOption (A) \{x | x < -13\} is the correct representation for all numbers that are less than 13-13. It does not include 13-13 itself and includes all numbers that are smaller than 13-13.

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