Question

solve for c.
-17c - 11 > -5c + 10 - 9c
write your answer with c first, followed by an inequality symbol.

Explanation:

Step1: Combine like - terms on right side

First, combine the $c$ terms on the right side of the inequality: $-5c-9c=-14c$. So the inequality becomes $-17c - 11>-14c + 10$.

Step2: Add $17c$ to both sides

Adding $17c$ to both sides gives: $-17c+17c - 11>-14c+17c + 10$, which simplifies to $-11 > 3c+10$.

Step3: Subtract 10 from both sides

Subtracting 10 from both sides: $-11-10>3c+10 - 10$, resulting in $-21>3c$.

Step4: Divide both sides by 3

Dividing both sides by 3: $\frac{-21}{3}>\frac{3c}{3}$, so $-7 > c$.

Step5: Rewrite the inequality

We can rewrite it as $c < - 7$.

Answer:

$c < -7$