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Which of the following is a solution to the inequality below?\newliney4y \geq -4\newlineChoices:\newline(A) y=10y = -10\newline(B) y=12y = -12\newline(C) y=3y = -3\newline(D) y=11y = -11

Full solution

Q. Which of the following is a solution to the inequality below?\newliney4y \geq -4\newlineChoices:\newline(A) y=10y = -10\newline(B) y=12y = -12\newline(C) y=3y = -3\newline(D) y=11y = -11
  1. Understand the inequality: Understand the inequality.\newlineThe inequality y4y \geq -4 means that yy can be any number greater than or equal to 4-4.
  2. Evaluate choices: Evaluate each choice to see if it satisfies the inequality.\newlineStart with choice (A) y=10y = -10.\newlineCheck if 104-10 \geq -4.\newlineThis is not true because 10-10 is less than 4-4.
  3. Check choice (A): Move on to choice (B) y=12y = -12.\newlineCheck if 124-12 \geq -4.\newlineThis is also not true because 12-12 is less than 4-4.
  4. Check choice (B): Evaluate choice (C) y=3y = -3.\newlineCheck if 34-3 \geq -4.\newlineThis is true because 3-3 is greater than 4-4.
  5. Check choice (C): Since we have found a correct answer in choice (C), we do not need to evaluate choice (D). However, for completeness, let's check it.\newlineEvaluate choice (D) y=11y = -11.\newlineCheck if 114-11 \geq -4.\newlineThis is not true because 11-11 is less than 4-4.

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