Question

solve the following inequality.
9 - 8y≥12
subtract 9 from both sides of the inequality.
9 - 8y≥12
9 - 8y - 9≥12 - 9

• 8y≥3

simplify.
(type the terms of your expression in the same order as they appear in the original expression.)
what is the next step to solve the inequality?
divide both sides of the inequality by - 8
multiply both sides of the inequality by - 8
divide both sides of the inequality by the number/expression found in the previous step.
y≤-3/8
simplify.
(type the terms of your expression in the same order as they appear in the original expression.)
the solution set is {y|y≤} or ().

Explanation:

Step1: Isolate the term with variable

Subtract 9 from both sides of $9 - 8y\geq12$.
$9-8y - 9\geq12 - 9$
$-8y\geq3$

Step2: Solve for y

Divide both sides by - 8. Remember to reverse the inequality sign when dividing by a negative number.
$\frac{-8y}{-8}\leq\frac{3}{-8}$
$y\leq-\frac{3}{8}$

Answer:

The solution set is $\{y|y\leq-\frac{3}{8}\}$