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 14.Inequality sign for greater than is: >
Match Set Notation: Match the correct inequality sign with the set notation options provided.The correct set notation for numbers greater than 14 is: \{x \mid x > 14\}
Review and Select: Review the choices and select the one that matches our set notation from Step 2.(A) {x | x < 14} is incorrect because it represents numbers less than 14.(B) x∣x≥14 is incorrect because it represents numbers greater than or equal to 14, not strictly greater.(C) {x | x > 14} is correct because it represents numbers strictly greater than 14.(D) x∣x≤14 is incorrect because it represents numbers less than or equal to14.