Q. Which is the set of numbers less than or equal to 5?Choices:(A){x∣x>5}(B){x∣x≥5}(C){x∣x<5}(D){x∣x≤5}
Understand the question: Understand the question. We need to find the set of numbers that are less than or equal to 5.
Identify inequality sign: Identify the correct inequality sign for "less than or equal to". The symbol for "less than or equal to" is ≤.
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 5, which is represented by {x∣x≤5}.
Review and select: Review the choices and select the one that matches our set notation from Step 3.(A) {x | x > 5} - This represents numbers greater than 5, which is not what we want.(B) x∣x≥5 - This represents numbers greater than or equal to 5, which includes numbers greater than 5, so it's not the correct choice.(C) {x | x < 5} - This represents numbers less than 5, but does not include 5 itself, so it's not the correct choice.(D) x∣x≤5 - This represents numbers less than or equal to 5, which is the correct choice.