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-2 > (3(b+4))/(-2) Which of the following best describes the solutions to the inequality shown? Choose 1 answer: (A) b < -3 (B) b < -(16)/(3) (C) b > -(8)/(3) (D) b > 0

-2>\frac{3(b+4)}{-2} \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) b<-3 \newline(B) b<-\frac{16}{3} \newline(C) b>-\frac{8}{3} \newline(D) b>0

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Full solution

Q. −2>3(b+4)−2 -2>\frac{3(b+4)}{-2} \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) b<−3 b<-3 \newline(B) b<−163 b<-\frac{16}{3} \newline(C) b>−83 b>-\frac{8}{3} \newline(D) b>0 b>0
  1. Multiply by −2-2: Multiply both sides of the inequality by −2-2 to eliminate the denominator.\newline-2 \times -2 > \frac{3(b + 4)}{-2} \times -2
  2. Simplify both sides: Simplify both sides of the inequality. 4 > 3(b + 4)
  3. Distribute the 33: Distribute the 33 on the right side of the inequality. \newline4 > 3b + 12
  4. Subtract 1212: Subtract 1212 from both sides of the inequality to isolate the term with bb.\newline4 - 12 > 3b\newline-8 > 3b
  5. Divide by 33: Divide both sides of the inequality by 33 to solve for bb.\newline-\frac{8}{3} > b
  6. Rewrite the inequality: Rewrite the inequality with bb on the left side.b < -\frac{8}{3}

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