Q. Which is the set of integers greater than 2 and less than 6?Choices:(A) {3,4,5,6}(B) {3,4,5}(C) ∅(D) {3,5}
Identify Range: Identify the range of integers that satisfy the given conditions.We are looking for integers that are greater than 2 and less than 6. This means we need to find integers that are between 2 and 6, not including 2 and 6 themselves.
List Integers: List the integers that fall within the range.The integers greater than 2 and less than 6 are 3, 4, and 5. These are the only integers that satisfy both conditions.
Match Choices: Match the list of integers to the given choices.The list of integers we found in Step 2 is {3,4,5}. We need to find this set among the given choices.
Select Correct Choice: Select the correct choice.Choice (A) includes the number 6, which should not be included because we are looking for numbers less than 6.Choice (B) is the set \{3,4,5\}, which matches our list.Choice (C) represents an empty set, which is not correct.Choice (D) is missing the number 4, so it is not correct.The correct choice is (B) \{3,4,5\}.