Q. Which is the set of numbers less than or equal to 3?Choices:(A){x∣x<3}(B){x∣x=3}(C){x∣x≥3}(D){x∣x≤3}
Understand Inequality Sign: Understand the inequality sign needed for the problem. We are looking for numbers that are less than or equal to 3. The inequality sign that represents "less than or equal to" is ≤.
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 3, which is denoted by x≤3.
Review and Select: Review the choices given and select the one that matches our inequality sign from Step 2. (A) {x | x < 3} represents numbers less than 3, not less than or equal to 3.(B) x∣x=3 represents only the number 3, not the numbers less than 3.(C) x∣x≥3 represents numbers greater than or equal to 3, which is the opposite of what we want.(D) x∣x≤3 represents numbers less than or equal to 3, which is exactly what we are looking for.