Explanation:
To solve the inequality 3(x - 3) ≤ 27, we can use the following steps:
Distribute the 3 on the left side of the inequality: 3x - 9 ≤ 27
Add 9 to both sides of the inequality: 3x ≤ 36
Divide both sides of the inequality by 3: x ≤ 12
Therefore, the solution to the inequality is x ≤ 12.
This solution is valid for any value of x less than or equal to 12, including 12.
Examples of values that satisfy this inequality are:
x = -6, -4, -2, 0, 2, 4, 6, 8, 10, 11, 12
x = -1, -0.5, 0.1, 4.5, 8.9, 12
Note that the solution set is a set of real numbers, that includes all x that are less or equal than 12.