Q. Which is the set of numbers greater than 11?Choices:(A) {x∣x=11}(B) {x∣x≥11}(C) {x∣x≤11}(D) {x∣x>11}
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 11, 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 11. The correct set notation will include the > sign.
Review and Select: Review the choices and select the one that matches our criteria.(A) x∣x=11 represents the set containing only the number 11, which is not what we want.(B) x∣x≥11 represents the set of numbers greater than or equal to 11, which includes 11 itself, so it's not strictly greater than 11.(C) x∣x≤11 represents the set of numbers less than or equal to11, which is the opposite of what we're looking for.(D) {x | x > 11} represents the set of numbers strictly greater than 11, which is exactly what we need.