Question

solve the following inequality.
7 - 3y≥9
what is the best first step to solve the given inequality? choose the correct answer below.
a. use the addition principle, so that one side of the inequality is zero.
b. use the addition principle to isolate the y - term on one side of the inequality.
c. use the multiplication principle to isolate the y - term on one side of the inequality.
d. use the multiplication principle, so that one side of the inequality is zero.

Explanation:

Step1: Identify the goal

To solve for \(y\), we first want to isolate the \(y - \)term. We use the addition principle to move the non - \(y\) terms to the other side.

Step2: Apply the addition principle

Starting with \(7-3y\geq9\), we subtract 7 from both sides. \(7 - 3y-7\geq9 - 7\), which simplifies to \(-3y\geq2\).

Answer:

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