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Which is the set of numbers greater than 1414?\newlineChoices:\newline(A) \{x | x < 14\} \newline(B) {xx14}\{x | x \geq 14\} \newline(C) \{x | x > 14\} \newline(D) {xx14}\{x | x \leq 14\}

Full solution

Q. Which is the set of numbers greater than 1414?\newlineChoices:\newline(A) {xx<14}\{x | x < 14\} \newline(B) {xx14}\{x | x \geq 14\} \newline(C) {xx>14}\{x | x > 14\} \newline(D) {xx14}\{x | x \leq 14\}
  1. Identify Inequality Sign: Identify the inequality sign that represents numbers greater than 1414.\newlineInequality sign for greater than is: >
  2. Match Set Notation: Match the correct inequality sign with the set notation options provided.\newlineThe correct set notation for numbers greater than 1414 is: \{x \mid x > 14\}
  3. Review and Select: Review the choices and select the one that matches our set notation from Step 22.\newline(A) {x | x < 14} is incorrect because it represents numbers less than 1414.\newline(B) xx14{x | x \geq 14} is incorrect because it represents numbers greater than or equal to 1414, not strictly greater.\newline(C) {x | x > 14} is correct because it represents numbers strictly greater than 1414.\newline(D) xx14{x | x \leq 14} is incorrect because it represents numbers less than or equal to 1414.

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