Question

Maluwa solves the inequality 3x+9≥6 . Which statement explains the steps she uses to find the solution set of the inequality?(1 point)
Responses

Maluwa subtracts 9 from each side of the inequality, divides both sides by 3, and reverses the inequality symbol to obtain the solution x≤−1.
Maluwa subtracts 9 from each side of the inequality, divides both sides by 3, and reverses the inequality symbol to obtain the solution x less-than-or-equal-to negative 1 .

Maluwa subtracts 9 from each side of the inequality and then divides both sides by 3 to obtain the solution x≥−1.
Maluwa subtracts 9 from each side of the inequality and then divides both sides by 3 to obtain the solution x greater-than-or-equal-to negative 1 .

Maluwa subtracts 9 from both sides of the inequality and then multiplies both sides by 3 to obtain the solution x≥−9.
Maluwa subtracts 9 from both sides of the inequality and then multiplies both sides by 3 to obtain the solution x greater-than-or-equal-to negative 9 .

Maluwa adds 9 to each side of the inequality and then divides both sides by 3 to obtain the solution x≥5.

Answer 1

To solve the inequality \(3x + 9 \geq 6\), Maluwa would follow these steps:

1. Subtract 9 from each side:
\[
3x + 9 - 9 \geq 6 - 9
\]
This simplifies to:
\[
3x \geq -3
\]

2. Divide both sides by 3:
\[
\frac{3x}{3} \geq \frac{-3}{3}
\]
This simplifies to:
\[
x \geq -1
\]

Therefore, the correct statement that explains the steps she uses to find the solution set of the inequality is:

**Maluwa subtracts 9 from each side of the inequality and then divides both sides by 3 to obtain the solution \(x \geq -1\).**