How do you solve -72<f/-6?

Mar 14, 2018

See a solution process below:

Explanation:

Multiply each side of the inequality by $\textcolor{b l u e}{- 6}$ to solve for $f$ while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative number we must reverse the inequality operator:

$\textcolor{b l u e}{- 6} \times - 72 \textcolor{red}{>} \textcolor{b l u e}{- 6} \times \frac{f}{-} 6$

$432 \textcolor{red}{>} \cancel{\textcolor{b l u e}{- 6}} \times \frac{f}{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 6}}}}$

$432 \textcolor{red}{>} f$

To state the result in terms of $f$ we can reverse or "flip" the entire inequality:

$f < 432$