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-12 x < -72 Which of the following best describes the solutions to the inequality shown? Choose 1 answer: (A) x < 6 (B) x > 6 (C) x < (1)/(6) (D) x > (1)/(6)

-12 x<-72 \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x<6 \newline(B) x>6 \newline(C) x<\frac{1}{6} \newline(D) x>\frac{1}{6}

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Q. −12x<−72 -12 x<-72 \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x<6 x<6 \newline(B) x>6 x>6 \newline(C) x<16 x<\frac{1}{6} \newline(D) x>16 x>\frac{1}{6}
  1. Divide by −12 -12 : Divide both sides of the inequality by −12 -12 to solve for x x . Remember that dividing by a negative number reverses the inequality sign.\newlineCalculation: \frac{-12x}{-12} > \frac{-72}{-12}
  2. Calculate x > 6: After dividing, we get x > 6.
  3. Check answer choices: Check the answer choices to see which one matches our solution.\newline(A) x < 6 (Incorrect, the inequality sign is reversed)\newline(B) x > 6 (Correct, this matches our solution)\newline(C) x < \frac{1}{6} (Incorrect, the value is incorrect)\newline(D) x > \frac{1}{6} (Incorrect, the value is incorrect)

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