Answer:
So we have this inequality:
[tex]-6b + 22 > -8[/tex]
We substract 22 on both sides:
[tex]-6b > -30[/tex]
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:
[tex]b < \frac{-30}{-6}[/tex]
[tex]b < 5[/tex]
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.
