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16 < -4x Which of the following best describes the solutions to the inequality shown? Choose 1 answer: (A) x < -4 (B) x > -4 (C) x < -(1)/(4) (D) x > -(1)/(4)

16<-4 x \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x<-4 \newline(B) x>-4 \newline(C) x<-\frac{1}{4} \newline(D) x>-\frac{1}{4}

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Full solution

Q. 16<−4x 16<-4 x \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x<−4 x<-4 \newline(B) x>−4 x>-4 \newline(C) x<−14 x<-\frac{1}{4} \newline(D) x>−14 x>-\frac{1}{4}
  1. Isolate variable x: Isolate the variable x by dividing both sides of the inequality by -4＂).\(\newlineCalculation: \$16 < -4x \) | \(\div(-4)\)\(\newline\)\(16 \div (-4) < -4x \div (-4)\)\(\newline\)\(-4 < x\)
  2. Flip inequality sign: When dividing by a negative number, the inequality sign flips.\(\newline\)Calculation: \(-4 < x\) becomes \(x > -4\)
  3. Choose correct answer: Choose the correct answer based on the inequality \(x > -4\).\(\newline\)The correct answer is (B) \(x > -4\).

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