. 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
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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 .
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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1 answer
To solve the inequality \(3x + 9 \geq 6\), Maluwa should first subtract 9 from both sides:
\[ 3x + 9 - 9 \geq 6 - 9 \]
This simplifies to:
\[ 3x \geq -3 \]
Next, she divides 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 used is:
Maluwa subtracts 9 from each side of the inequality and then divides both sides by 3 to obtain the solution \(x \geq -1\).
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