Maluwa 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 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 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 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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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 .
Remaining Attempts : 3
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Answer 1

To solve the inequality $3x+9\ge 6$, Maluwa should follow these steps:

1. Subtract 9 from both sides: $$3x+9-9\ge 6-9$$ This simplifies to: $$3x\ge -3$$

2. Divide both sides by 3: $$\frac{3x}{3}\ge \frac{-3}{3}$$ This leads to: $$x\ge -1$$

Given these steps, the correct statement that explains Maluwa's process is:

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