Answer:
[tex]b\leq -\frac{19}{14}[/tex]
Step-by-step explanation:
First, write out the equation as you have been given it:
[tex]8-14b\geq 27[/tex]
Now, subtract 8 from both sides:
[tex]8-8-14b\geq 27-8\\-14b\geq 19[/tex]
Now, divide both sides by -14 and flip the inequality sign since we are dividing by a negative:
[tex]\frac{-14b}{-14} \geq \frac{19}{-14}\\b\leq -\frac{19}{14}[/tex]
The highest solution to the inequality is -19/14, and any number lower will also work.
