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Which is the set of numbers less than or equal to 55?\newlineChoices:\newline(A)\{x | x > 5\} \newline(B){xx5}\{x | x \geq 5\} \newline(C)\{x | x < 5\} \newline(D){xx5}\{x | x \leq 5\}

Full solution

Q. Which is the set of numbers less than or equal to 55?\newlineChoices:\newline(A){xx>5}\{x | x > 5\} \newline(B){xx5}\{x | x \geq 5\} \newline(C){xx<5}\{x | x < 5\} \newline(D){xx5}\{x | x \leq 5\}
  1. Understand the question: Understand the question. We need to find the set of numbers that are less than or equal to 55.
  2. Identify inequality sign: Identify the correct inequality sign for "less than or equal to". The symbol for "less than or equal to" is \leq.
  3. Match correct notation: Match the correct inequality sign with the set notation options provided. We are looking for the set notation that includes numbers less than or equal to 55, which is represented by {xx5}\{x | x \leq 5\}.
  4. Review and select: Review the choices and select the one that matches our set notation from Step 33.\newline(A) {x | x > 5} - This represents numbers greater than 55, which is not what we want.\newline(B) xx5{x | x \geq 5} - This represents numbers greater than or equal to 55, which includes numbers greater than 55, so it's not the correct choice.\newline(C) {x | x < 5} - This represents numbers less than 55, but does not include 55 itself, so it's not the correct choice.\newline(D) xx5{x | x \leq 5} - This represents numbers less than or equal to 55, which is the correct choice.

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