Solve the inequality. c - 12 > - 1 c > - 13 c > 13 c 11

First you're gonna flip the signs from left to right or the other way around only when there's a negative co-efficent. For example, > - 1c > is transformed into < - 1c <. Just because you flip the sign doesn't mean that the negative disappears. So I'll do the steps for you.

c - 12 > - 1c > - 13c > 13c 11.

c - 12 < - 1c 13c 11.

c - 12 - 13c < 13c 11.

c - 12 - 13c - 13c < 11.

Ok, now that all the signs are flipped I'm going to use algebraic steps to get to a simplified inequality.

c - 12 - 13c - 13c < 11.

I figured out from - 13c < 13c that c is a positive number.

I figured out from c - 12 < - 1c that c is a small positive number, more exactly

0 < c < 6 is the inequality to solve for c.

c > 11

Step-by-step explanation:

To solve the inequality:

c - 12 > - 1

you have to isolate c adding 12 to each term, as follows:

c - 12 + 12 > - 1 + 12

c > 11