Q. Which is the set of numbers greater than 14?Choices:(A) {x∣x≥14}(B) {x∣x≤14}(C) {x∣x<14}(D) {x∣x>14}
Identify Inequality Sign: Identify the inequality sign that represents numbers greater than a certain value.In this case, we are looking for numbers greater than 14, so the inequality sign we are interested in 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 greater than 14.(A) {x∣x≥14} means x is greater than or equal to 14, which is not what we want because it includes 14.(B) {x∣x≤14} means x is less than or equal to14, which is the opposite of what we want.(C) \{x | x < 14\} means x is less than 14, which is also the opposite of what we want.(D) {x∣x≥14}1 means x is greater than 14, which is exactly what we are looking for.