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Which of the following are solutions to the inequality below? Select all that apply.\newline12<g-12 < g\newlineMulti-select Choices:\newline(A) g=8g = -8\newline(B) g=4g = -4\newline(C) g=11g = -11\newline(D) g=3g = -3

Full solution

Q. Which of the following are solutions to the inequality below? Select all that apply.\newline12<g-12 < g\newlineMulti-select Choices:\newline(A) g=8g = -8\newline(B) g=4g = -4\newline(C) g=11g = -11\newline(D) g=3g = -3
  1. Understand the inequality: Understand the inequality.\newlineThe inequality 12<g-12 < g means that gg must be greater than 12-12.
  2. Test choice (A): Test choice (A) g=8g = -8. Substitute gg with 8-8 in the inequality 12<g-12 < g. 12<8-12 < -8 This is true because 8-8 is greater than 12-12.
  3. Test choice (B): Test choice (B) g=4g = -4. Substitute gg with 4-4 in the inequality 12<g-12 < g. 12<4-12 < -4 This is true because 4-4 is greater than 12-12.
  4. Test choice (C): Test choice (C) g=11g = -11. Substitute gg with 11-11 in the inequality 12<g-12 < g. 12<11-12 < -11 This is true because 11-11 is greater than 12-12.
  5. Test choice (D): Test choice (D) g=3g = -3. Substitute gg with 3-3 in the inequality 12<g-12 < g. 12<3-12 < -3 This is true because 3-3 is greater than 12-12.

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