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What does the set {xx15}\{x | x \geq -15\} represent?\newlineChoices:\newline(A)all numbers greater than 15-15 \newline(B)all numbers greater than or equal to 15-15 \newline(C)all numbers equal to 15-15 \newline(D)all numbers less than 15-15

Full solution

Q. What does the set {xx15}\{x | x \geq -15\} represent?\newlineChoices:\newline(A)all numbers greater than 15-15 \newline(B)all numbers greater than or equal to 15-15 \newline(C)all numbers equal to 15-15 \newline(D)all numbers less than 15-15
  1. Identify Meaning: Identify the meaning of the set notation.\newlineThe set xx15{x | x \geq -15} reads as "the set of all xx such that xx is greater than or equal to 15-15."
  2. Match Notation: Match the set notation to the correct choice.\newlineThe phrase "greater than or equal to 15-15" corresponds to all numbers on the number line that are 15-15 or to the right of 15-15.
  3. Eliminate Incorrect Choices: Eliminate incorrect choices based on the set notation.\newline(A) Incorrect because it says "greater than" but does not include 15-15 itself.\newline(C) Incorrect because it only includes the number 15-15 and not all numbers greater than it.\newline(D) Incorrect because it says "less than 15-15" which is the opposite of what the set notation specifies.
  4. Confirm Correct Choice: Confirm the correct choice.\newline(B) is the correct choice because it includes all numbers that are 15-15 and all numbers greater than 15-15, which matches the set notation {xx15}\{x | x \geq -15\}.

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