Final answer:
The inequality is -3x - 3 ≤ 6. To solve for x, add 3 to both sides, then divide by -3. The solution is x ≥ -3.
Step-by-step explanation:
To solve the inequality -3x - 3 ≤ 6, we want to isolate the variable x on one side of the inequality.
First, we can add 3 to both sides of the inequality:
-3x - 3 + 3 ≤ 6 + 3
-3x ≤ 9
Next, we divide both sides of the inequality by -3.
Remember, when we divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign flips:
x ≥ -3
So, the solution to the inequality is x ≥ -3.