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Which of the following are solutions to the inequality below? Select all that apply.\newline-6 < z\newlineMulti-select Choices:\newline(A) z=5z = -5\newline(B) z=10z = -10\newline(C) z=9z = -9\newline(D) z=6z = -6

Full solution

Q. Which of the following are solutions to the inequality below? Select all that apply.\newline6<z-6 < z\newlineMulti-select Choices:\newline(A) z=5z = -5\newline(B) z=10z = -10\newline(C) z=9z = -9\newline(D) z=6z = -6
  1. Understand the inequality: Understand the inequality.\newlineThe inequality –6 < z means that zz must be greater than 6–6.
  2. Test option (A): Test each option against the inequality.\newlineOption (A) tests if z=5z = -5 is a solution.\newline5-5 is greater than 6-6, so -5 < z is true.
  3. Test option (B): Test option (B).\newlineOption (B) tests if z=10z = -10 is a solution.\newline10-10 is not greater than 6-6, so -6 < z is false when z=10z = -10.
  4. Test option (C): Test option (C).\newlineOption (C) tests if z=9z = -9 is a solution.\newline9-9 is not greater than 6-6, so -6 < z is false when z=9z = -9.
  5. Test option (D): Test option (D).\newlineOption (D) tests if z=6z = -6 is a solution.\newline6-6 is not greater than 6-6, it is equal to 6-6, so -6 < z is false when z=6z = -6.

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