Question

solve the following inequality for c. write your answer in simplest form.
$c - 8 < 10c + 3$

Explanation:

Step1: Subtract $c$ from both sides

$c - 8 - c < 10c + 3 - c$
$-8 < 9c + 3$

Step2: Subtract 3 from both sides

$-8 - 3 < 9c + 3 - 3$
$-11 < 9c$

Step3: Divide by 9 on both sides

$\frac{-11}{9} < c$

Answer:

$c > -\frac{11}{9}$