Q. Which is the set of integers greater than 2 and less than 6?Choices:(A) {3,4,5,6}(B) {3,5}(C) {3,4,5}(D) ∅
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 all integers that fall between 2 and 6, not including 2 and 6 themselves.
List Integers: List the integers that satisfy the conditions.The integers greater than 2 and less than 6 are 3, 4, and 5. These are the only integers that fit within the range specified by the 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.(A) {3,4,5,6} includes 6, which should not be included.(B) {3,5} is missing the integer 4.(C) {3,4,5} matches our list exactly.(D) ∅ represents the empty set, which is not correct.
Select Correct: Select the correct choice based on the matching set.The correct choice is (C) {3,4,5} because it is the set of integers that are greater than 2 and less than 6.