Question

Solve the following inequality for ff. Write your answer in the simplest form.2f + 4 > -7f + 3

Answer 1

Given the inequality

$2f+4>-7f+3$

Add 7f on both sides.

$\begin{gathered} 2f+4+7f>-7f+3+7f \\ 9f+4>3 \end{gathered}$

Add -4 on both sides.

$\begin{gathered} 9f+4-4>3-4 \\ 9f>-1 \end{gathered}$

Divide by 9 on both sides.

$f>-\frac{1}{9}$

which is the simplest form.