Q. Which is the set of integers greater than or equal to 2 and less than 6?Choices:(A) {3,4,5}(B) {3,4,5,6}(C) {2,3,4,5}(D) {2,6}
Define Inequality: Let's first define the inequality that represents the set of integers greater than or equal to 2 and less than 6. We need to use two inequality signs: one for "greater than or equal to" (≥) and one for "less than" (<).
Write Set Notation: Now, let's write down the set notation that includes all integers x such that 2 \leq x < 6. This means we are looking for integers that are at least 2 but strictly less than 6.
List Integers: We list out the integers that satisfy the inequality 2 \leq x < 6. These integers are 2, 3, 4, and 5. The number 6 is not included because the inequality is strictly less than 6.
Match with Choices: We match our list of integers 2,3,4,5 with the given choices to find the correct set.(A) 3,4,5 does not include 2, so it is not correct.(B) 3,4,5,6 includes 6, which should not be in the set, so it is not correct.(C) 2,3,4,5 includes all the integers that satisfy the inequality, so it is correct.(D) 2,6 does not include 3, 4, or 5, so it is not correct.