Q. Which is the set of integers greater than 2 and less than 6?Choices:(A) {3,4,5,6}(B) {3,5}(C) ∅(D) {3,4,5}
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 numbers that are between 2 and 6, not including 2 and 6 themselves.
List Integers: List the integers that fall within this 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.
Eliminate Incorrect Choices: Eliminate the incorrect choices.(A) includes the number 6, which should not be in the set because we are looking for numbers less than 6.(B) is missing the number 4, so it cannot be the correct set.(C) represents an empty set, which is not correct because there are integers that satisfy the conditions.(D) is the set \{3,4,5\}, which matches our list from Step 2.