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Which is the set of integers greater than or equal to 8-8 and less than 5-5?\newlineChoices:\newline(A) {8,5}\{-8, -5\}\newline(B) {8,7,6}\{-8, -7, -6\}\newline(C) {8,7,6,5}\{-8, -7, -6, -5\}\newline(D) {8,6}\{-8, -6\}

Full solution

Q. Which is the set of integers greater than or equal to 8-8 and less than 5-5?\newlineChoices:\newline(A) {8,5}\{-8, -5\}\newline(B) {8,7,6}\{-8, -7, -6\}\newline(C) {8,7,6,5}\{-8, -7, -6, -5\}\newline(D) {8,6}\{-8, -6\}
  1. Identify Inequality Signs: Let's first identify the inequality signs for the problem. We are looking for integers that are greater than or equal to 8-8 and less than 5-5. The inequality signs we will use are \geq for greater than or equal to, and < for less than.
  2. List Integers for 11st Condition: Now, let's list out the integers that satisfy the first condition, which is greater than or equal to 8-8. These integers are 8-8, 7-7, 6-6, 5-5, 4-4, and so on. However, we are also constrained by the second condition, which is less than 5-5.
  3. Apply 22nd Condition: Next, we apply the second condition, which is less than 5-5. This means we cannot include 5-5 and any integer greater than 5-5. So, we eliminate 5-5, 4-4, and any larger integers from our list.
  4. Eliminate Integers: After applying both conditions, we are left with the integers 8-8, 7-7, and 6-6. These are the integers that are greater than or equal to 8-8 and less than 5-5.
  5. Match with Choices: Finally, we match our set of integers with the given choices. The set of integers 8-8, 7-7, and 6-6 corresponds to choice (B).

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