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

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Full solution

Q. Which is the set of numbers less than −13-13?\newlineChoices:\newline(A){x∣x=−13}\{x|x = -13\}\newline(B){x∣x<−13}\{x|x < -13\}\newline(C){x∣x>−13}\{x|x > -13\}\newline(D){x∣x≤−13}\{x|x \leq -13\}
  1. Understand Question: Let's first understand the question. We are looking for a set of numbers that are strictly less than −13-13, not equal to or greater than −13-13.
  2. Examine Choices: Now, let's examine the choices given to identify which set notation correctly represents numbers less than −13-13.
  3. Evaluate First Choice: The first choice is x∣x=−13{x|x = -13}. This set contains only the number −13-13, which does not satisfy our condition of being less than −13-13.
  4. Evaluate Second Choice: The second choice is {x|x < -13}. This set contains all numbers that are less than −13-13, which exactly matches our requirement.
  5. Evaluate Third Choice: The third choice is {x|x > -13}. This set contains all numbers that are greater than −13-13, which is the opposite of what we are looking for.
  6. Evaluate Fourth Choice: The fourth choice is x∣x≤−13{x|x \leq -13}. This set contains all numbers that are less than or equal to −13-13. While it includes numbers less than −13-13, it also incorrectly includes −13-13 itself.
  7. Identify Correct Set: Therefore, the correct set that represents all numbers less than −13-13 is the second choice: \{x|x < -13\}.

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