How do you solve -7f>5?

Jan 16, 2017

See entire solution process below:

Explanation:

To solve this inequality we need to divide each side of the inequality by $\textcolor{b l u e}{- 7}$ to solve for $f$ while keeping the equation balanced.

However, whenever you multiply or divide an inequality by a negative term you must reverse the inequality:

$- 7 f > 5 \to$

$\frac{- 7 f}{\textcolor{b l u e}{- 7}} \textcolor{red}{<} \frac{5}{\textcolor{b l u e}{- 7}}$

$\frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{- 7}}} f}{\cancel{\textcolor{b l u e}{- 7}}} \textcolor{red}{<} - \frac{5}{7}$

$f < - \frac{5}{7}$