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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){8,7,6,5}\{-8, -7, -6, -5\}\newline(C){8,7,6}\{-8, -7, -6\}\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){8,7,6,5}\{-8, -7, -6, -5\}\newline(C){8,7,6}\{-8, -7, -6\}\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 also less than 5-5.\newlineInequality signs: \geq and <
  2. List Integers: Now we need to list the integers that satisfy both conditions. The integers greater than or equal to 8-8 are 8,7,6,5,4,-8, -7, -6, -5, -4, and so on. However, we also need these integers to be less than 5-5.
  3. Eliminate Integers: We will now eliminate the integers that do not satisfy the second condition, which is being less than 5-5. This means we cannot include 5-5 and any integer greater than 5-5.
  4. Match with Choices: After eliminating those integers, 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: After eliminating those integers, 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.We will now match our result with the given choices to find the correct set notation.\newline(A) {8,5}\{-8, -5\} includes 5-5, which should not be in the set.\newline(B) {8,7,6,5}\{-8, -7, -6, -5\} also includes 5-5, which should not be in the set.\newline(C) {8,7,6}\{-8, -7, -6\} does not include 5-5 and includes all integers greater than or equal to 8-8 and less than 5-5.\newline(D) 7-733 is missing 7-7, which should be in the set.

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