What steps should be followed in order to solve the inequality statement?

n/-8 < -11

add 8, divide by 7, and keep the inequality symbol
add 8, multiply by 7, and flip the inequality symbol
add 8, multiply by 7, and keep the inequality symbol
add 8, divide by 7, and flip the inequality symbol

1 answer

To solve the inequality \( \frac{n}{-8} < -11 \), you should follow these steps:

  1. Multiply both sides by -8: When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

So, the correct steps are:

  • Start with \( \frac{n}{-8} < -11 \).
  • Multiply both sides by -8, which flips the inequality sign: \[ n > 88 \]

Now, looking at your provided options, the correct answer is:

  • Add 8, multiply by -8, and flip the inequality symbol.

However, in the context of this problem, starting with a multiplication approach seems more straightforward. So the closest would be the general adjustment of flipping the sign, hence the correct choice fits more correctly as multiplying by a negative number causes a flip, even if "add 8" might not apply in this correct context.

Given the options are presented differently, please ensure future queries about inequalities present the accurate step choices.