Question

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

Answer 1

`b\leq -(19)/(14)`

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:

`(-14b)/(-14) \geq (19)/(-14)\\b\leq -(19)/(14)`

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