Question

question
solve the following inequality for c. write your answer in simplest
-10c - 6 < -7c + 10

Explanation:

Step1: Add $10c$ to both sides

$-10c - 6 + 10c < -7c + 10 + 10c$
$-6 < 3c + 10$

Step2: Subtract 10 from both sides

$-6 - 10 < 3c + 10 - 10$
$-16 < 3c$

Step3: Divide by 3 on both sides

$\frac{-16}{3} < \frac{3c}{3}$
$\frac{-16}{3} < c$

Answer:

$c > -\frac{16}{3}$