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Is v=4v = -4 a solution to the inequality below?\newlinev12v \geq -12\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is v=4v = -4 a solution to the inequality below?\newlinev12v \geq -12\newlineChoices:\newline(A)yes\newline(B)no
  1. Given value check: We are given v=4v = -4. We need to check if this value satisfies the inequality v12v \geq -12.\newlinePlug in the value for vv in v12v \geq -12.\newlinev12v \geq -12\newlineReplace vv with 4-4.\newline412-4 \geq -12
  2. Verify inequality with value: Determine if the inequality holds true with v=4v = -4. Comparing the values, 4-4 is greater than 12-12. Therefore, 412-4 \geq -12 is a true statement.
  3. Conclusion and correct choice: Since the inequality is true when v=4v = -4, we can conclude that v=4v = -4 is indeed a solution to the inequality v12v \geq -12. Choose the equivalent option that says v=4v = -4 is a solution to the inequality v12v \geq -12. The correct choice is (A) yes.

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