To find the solution set for the equation represented by 3x ≤ 12, we start by isolating x.
First, we need to divide both sides of the inequality by 3:
x ≤ 4
This tells us that x can take any value that is less than or equal to 4. Now, when we talk about the solution set, we are referring to all the possible values that x can take. In this case, the solution set is:
- x ∈ (-∞, 4] which includes all real numbers less than or equal to 4.
So, the solution set of the inequality 3x ≤ 12 is any real number less than or equal to 4.