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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){8,7,6,5}\{-8, -7, -6, -5\}\newline(B){8,5}\{-8, -5\}\newline(C){8,6}\{-8, -6\}\newline(D){8,7,6}\{-8, -7, -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){8,7,6,5}\{-8, -7, -6, -5\}\newline(B){8,5}\{-8, -5\}\newline(C){8,6}\{-8, -6\}\newline(D){8,7,6}\{-8, -7, -6\}
  1. Identify Inequality: Identify the inequality that represents the set of integers greater than or equal to 8-8 and less than 5-5. The inequality for greater than or equal to is \geq and for less than is <. So we are looking for integers xx such that -8 \leq x < -5.
  2. List Integers: List the integers that satisfy the inequality -8 \leq x < -5.\newlineStarting from 8-8, we count up but do not include 5-5 because the inequality is strict x < -5.\newlineThe integers that satisfy this are 8-8, 7-7, and 6-6.
  3. Match Choices: Match the list of integers to the given choices.\newlineThe list of integers we found is 8,7,6{-8, -7, -6}, which corresponds to choice (D)(D).

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