Given -6b+22>-8 what is the largest integer b can represent

So we have this inequality:

We substract 22 on both sides:

Now, we divide both sides by -6 and we change the sign, as, when we multiplicate or divide by a negative number we always have to do it:

So we know b < 5, so the biggest integer b can represent is 4. Note that the solution is any number which is smaller than 5.

i believe the answer is the polygon, heptagon.