Question

Which number is a solution of the inequality 8 – 14b ≥ 27?

Answer 1

Answer:

$b\leq -\frac{19}{14}$

Step-by-step explanation:

First, write out the equation as you have been given it:

$8-14b\geq 27$

Now, subtract 8 from both sides:

$8-8-14b\geq 27-8\\-14b\geq 19$

Now, divide both sides by -14 and flip the inequality sign since we are dividing by a negative:

$\frac{-14b}{-14} \geq \frac{19}{-14}\\b\leq -\frac{19}{14}$

The highest solution to the inequality is -19/14, and any number lower will also work.