Q. Which is the set of numbers greater than 10?Choices:(A) {x∣x=10}(B) {x∣x<10}(C) {x∣x≤10}(D) {x∣x>10}
Understand the question: Understand the question. We need to find the set of numbers that are greater than 10.
Identify inequality sign: Identify the correct inequality sign for "greater than". The inequality sign for "greater than" is ">".
Match inequality sign with set notation: Match the inequality sign with the correct set notation from the given choices. The set notation that represents numbers greater than 10 is \{x | x > 10\}.
Review and select correct choice: Review the choices and select the one that matches our set notation from Step 3.(A) x∣x=10 - This represents numbers equal to 10, which is not what we want.(B) {x | x < 10} - This represents numbers less than 10, which is not what we want.(C) x∣x≤10 - This represents numbers less than or equal to10, which is not what we want.(D) {x | x > 10} - This represents numbers greater than 10, which is exactly what we want.