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What does the set {xx4}\{x | x \geq 4\} represent?\newlineChoices:\newline(A)all numbers less than or equal to 44 \newline(B)all numbers less than 44 \newline(C)all numbers greater than or equal to 44 \newline(D)all numbers equal to 44

Full solution

Q. What does the set {xx4}\{x | x \geq 4\} represent?\newlineChoices:\newline(A)all numbers less than or equal to 44 \newline(B)all numbers less than 44 \newline(C)all numbers greater than or equal to 44 \newline(D)all numbers equal to 44
  1. Understand set notation: Understand the set notation. The set xx4{x | x \geq 4} uses the symbol \geq, which means “greater than or equal to”\text{“greater than or equal to”}. This set includes all numbers that are greater than or equal to 44.
  2. Match to correct choice: Match the set notation to the correct choice. We need to find which choice corresponds to the set of all numbers that are greater than or equal to 44.
  3. Eliminate incorrect choices: Eliminate incorrect choices. \newline(A) represents all numbers less than or equal to 44, which is not what we want.\newline(B) represents all numbers less than 44, which is also incorrect.\newline(D) represents all numbers equal to 44, which is too restrictive because we want all numbers greater than or equal to 44, not just 44.
  4. Confirm correct choice: Confirm the correct choice. (C) represents all numbers greater than or equal to 44, which matches our set notation {xx4}\{x | x \geq 4\}.

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