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Which of the following are solutions to the inequality below? Select all that apply.\newlinek < -1\newlineMulti-select Choices:\newline(A)k=9k = -9\newline(B)k=3k = -3\newline(C)k=12k = -12\newline(D)k=7k = -7

Full solution

Q. Which of the following are solutions to the inequality below? Select all that apply.\newlinek<1k < -1\newlineMulti-select Choices:\newline(A)k=9k = -9\newline(B)k=3k = -3\newline(C)k=12k = -12\newline(D)k=7k = -7
  1. Understand the inequality: Understand the inequality.\newlineThe inequality k < -1 means that we are looking for values of kk that are less than negative one.
  2. Evaluate choices: Evaluate each choice against the inequality.\newlineWe will plug in each value of kk from the choices into the inequality to see if it makes the inequality true.\newline\newlineStep 33: Check choice (A) k=9k = -9.\newlinePlug in k=9k = -9 into the inequality k < -1.\newline-9 < -1\newlineThis is true because 9-9 is less than 1-1.
  3. Check choice (A): Check choice (B) k=3k = -3.\newlinePlug in k=3k = -3 into the inequality k < -1.\newline-3 < -1\newlineThis is true because 3-3 is less than 1-1.
  4. Check choice (B): Check choice (C) k=12k = -12.\newlinePlug in k=12k = -12 into the inequality k < -1.\newline-12 < -1\newlineThis is true because 12-12 is less than 1-1.
  5. Check choice (C): Check choice (D) k=7k = -7. Plug in k=7k = -7 into the inequality k < -1. -7 < -1 This is true because 7-7 is less than 1-1.
  6. Check choice (D): Compile the correct choices.\newlineAll the choices (A), (B), (C), and (D) make the inequality true, so they are all solutions to the inequality k < -1.

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