Maluwa solves the inequality 3x+9≥6
. Which statement explains the steps she uses to find the solution set of the inequality?
The steps Maluwa uses to find the solution set of the inequality are as follows:
1. She subtracts 9 from both sides of the inequality to isolate the variable term:
3x + 9 - 9 ≥ 6 - 9
3x ≥ -3
2. Next, she divides both sides of the inequality by 3 to solve for x:
(3x)/3 ≥ (-3)/3
x ≥ -1
3. The solution set of the inequality is all real numbers greater than or equal to -1, represented by the interval notation [-1, ∞).
To find the solution set of the inequality 3x + 9 ≥ 6, Maluwa would follow these steps:
Step 1: Subtract 9 from both sides of the inequality:
3x +9 - 9 ≥ 6 - 9
This simplifies to:
3x ≥ -3
Step 2: Divide both sides of the inequality by 3:
(3x)/3 ≥ (-3)/3
This simplifies to:
x ≥ -1
Therefore, Maluwa finds that the solution set of the inequality 3x + 9 ≥ 6 is x ≥ -1.