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 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 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 adds 9 to each side of the inequality and then divides both sides by 3 to obtain the solution x≥5 . Maluwa adds 9 to each side of the inequality and then divides both sides by 3 to obtain the solution x greater-than-or-equal-to 5 . Maluwa subtracts 9 from each side of the inequality and then divides both sides by 3 to obtain the solution x≥−1 .

Answer 1

To solve the inequality \(3x + 9 \geq 6\), Maluwa should first subtract 9 from both sides:

\[ 3x + 9 - 9 \geq 6 - 9 \] \[ 3x \geq -3 \]

Next, she divides both sides by 3:

\[ \frac{3x}{3} \geq \frac{-3}{3} \] \[ x \geq -1 \]

The correct interpretation of her steps is that after subtracting 9 from both sides, she divides by 3 without reversing the inequality, leading to the solution \(x \geq -1\).

The correct response is: "Maluwa subtracts 9 from each side of the inequality, divides both sides by 3, to obtain the solution \(x \geq -1\)."