aluwa solves the inequality 3x+9≥6

Question

. 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 and then divides both sides by 3 to obtain the solution x≥−1
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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
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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
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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
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Answer 1

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

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

2. Next, 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 Maluwa 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 \(x \geq -1\).