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Which of the following are solutions to the inequality below? Select all that apply.\newline11<y-11 < y\newlineMulti-select Choices:\newline(A) y=7y = -7\newline(B) y=4y = -4\newline(C) y=1y = -1\newline(D) y=8y = -8

Full solution

Q. Which of the following are solutions to the inequality below? Select all that apply.\newline11<y-11 < y\newlineMulti-select Choices:\newline(A) y=7y = -7\newline(B) y=4y = -4\newline(C) y=1y = -1\newline(D) y=8y = -8
  1. Understand the inequality: Understand the inequality.\newlineThe inequality 11<y-11 < y means that yy must be greater than 11-11.
  2. Test choice (A): Test choice (A) y=7y = -7. Plug in y=7y = -7 into the inequality 11<y-11 < y. 11<7-11 < -7 This is true because 7-7 is greater than 11-11.
  3. Test choice (B): Test choice (B) y=4y = -4.\newlinePlug in y=4y = -4 into the inequality 11<y-11 < y.\newline11<4-11 < -4\newlineThis is true because 4-4 is greater than 11-11.
  4. Test choice (C): Test choice (C) y=1y = -1.\newlinePlug in y=1y = -1 into the inequality 11<y-11 < y.\newline11<1-11 < -1\newlineThis is true because 1-1 is greater than 11-11.
  5. Test choice (D): Test choice (D) y=8y = -8.\newlinePlug in y=8y = -8 into the inequality 11<y-11 < y.\newline11<8-11 < -8\newlineThis is true because 8-8 is greater than 11-11.

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