Question

solve the following inequality. 9 - 8y≥12
what is the best first step to solve the given inequality? choose the correct answer below.
a. use the multiplication principle to isolate the y - term on one side of the inequality.
b. use the multiplication principle, so that one side of the inequality is zero.
c. use the addition principle, so that one side of the inequality is zero.
d. use the addition principle to isolate the y - term on one side of the inequality.

Explanation:

Step1: Analyze the goal of isolating y - term

To solve the inequality $9 - 8y\geq12$, we want to get the $y$ - term alone on one side. First, we need to move the constant term 9 to the other side.

Step2: Recall the addition principle

The addition principle states that we can add or subtract the same number from both sides of an inequality without changing the inequality sign. To move the 9 from the left - hand side, we subtract 9 from both sides. This is using the addition principle to isolate the $y$ - term on one side of the inequality.

Answer:

D. Use the addition principle to isolate the y - term on one side of the inequality.