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

Question

Responses

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 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 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.

Answer 1

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

1. Subtract 9 from both sides: \[ 3x + 9 - 9 \geq 6 - 9 \implies 3x \geq -3 \]

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

So, the correct statement that explains the steps Maluwa uses is:

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

This would be the first option in your list.