To solve the inequality 3x - 6 ≤ -3, you need to isolate the variable x by performing the following steps:
1. Add 6 to both sides of the inequality to get rid of the constant term on the left side:
3x - 6 + 6 ≤ -3 + 6
3x ≤ 3
2. Divide by 3 on both sides to solve for x:
3x/3 ≤ 3/3
x ≤ 1
Therefore, the solution to the inequality 3x - 6 ≤ -3 is x ≤ 1. This means that any value of x less than or equal to 1 will satisfy the inequality.