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Which is the set of numbers less than or equal to 33?\newlineChoices:\newline(A)\{x | x < 3\} \newline(B){xx=3}\{x | x = 3\} \newline(C){xx3}\{x | x \geq 3\} \newline(D){xx3}\{x | x \leq 3\}

Full solution

Q. Which is the set of numbers less than or equal to 33?\newlineChoices:\newline(A){xx<3}\{x | x < 3\} \newline(B){xx=3}\{x | x = 3\} \newline(C){xx3}\{x | x \geq 3\} \newline(D){xx3}\{x | x \leq 3\}
  1. Understand Inequality Sign: Understand the inequality sign needed for the problem. We are looking for numbers that are less than or equal to 33. The inequality sign that represents "less than or equal to" is \leq.
  2. Match with Set Notation: Match the correct inequality sign with the set notation options provided. We need to find the set notation that correctly represents the set of numbers less than or equal to 33, which is denoted by x3x \leq 3.
  3. Review and Select: Review the choices given and select the one that matches our inequality sign from Step 22. \newline(A) {x | x < 3} represents numbers less than 33, not less than or equal to 33.\newline(B) xx=3{x | x = 3} represents only the number 33, not the numbers less than 33.\newline(C) xx3{x | x \geq 3} represents numbers greater than or equal to 33, which is the opposite of what we want.\newline(D) xx3{x | x \leq 3} represents numbers less than or equal to 33, which is exactly what we are looking for.

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