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Which of the following is a solution to the inequality below?\newlinej5j \geq -5\newlineChoices:\newline(A) j=9j = -9\newline(B) j=6j = -6\newline(C) j=12j = -12\newline(D) j=2j = -2

Full solution

Q. Which of the following is a solution to the inequality below?\newlinej5j \geq -5\newlineChoices:\newline(A) j=9j = -9\newline(B) j=6j = -6\newline(C) j=12j = -12\newline(D) j=2j = -2
  1. Evaluate Choice (A): Evaluate choice (A) j=9j = -9. Plug in the value for jj in j5j \geq -5. j5j \geq -5 Replace jj with 9-9. 95-9 \geq -5 Check if the inequality holds.
  2. Check Choice (A): Since 9-9 is not greater than or equal to 5-5, choice (A) is not a solution to the inequality.\newline95-9 \geq -5 is false.
  3. Evaluate Choice (B): Evaluate choice (B) j=6j = -6.\newlinePlug in the value for jj in j5j \geq -5.\newlinej5j \geq -5\newlineReplace jj with 6-6.\newline65-6 \geq -5\newlineCheck if the inequality holds.
  4. Check Choice (B): Since 6-6 is not greater than or equal to 5-5, choice (B) is not a solution to the inequality.\newline65-6 \geq -5 is false.
  5. Evaluate Choice (C): Evaluate choice (C) j=12j = -12. Plug in the value for jj in j5j \geq -5. j5j \geq -5 Replace jj with 12-12. 125-12 \geq -5 Check if the inequality holds.
  6. Check Choice (C): Since 12-12 is not greater than or equal to 5-5, choice (C) is not a solution to the inequality.\newline125-12 \geq -5 is false.
  7. Evaluate Choice (D): Evaluate choice (D) j=2j = -2.\newlinePlug in the value for jj in j5j \geq -5.\newlinej5j \geq -5\newlineReplace jj with 2-2.\newline25-2 \geq -5\newlineCheck if the inequality holds.
  8. Check Choice (D): Since 2-2 is greater than or equal to 5-5, choice (D) is a solution to the inequality.\newline25-2 \geq -5 is true.

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