Final answer:
The inequality x ≤ 2 includes 2 as a possible solution, while x < 2 does not include 2 as a possible solution.
Step-by-step explanation:
To compare and contrast the solutions x ≤ 2 and x < 2, we need to understand the meaning of each inequality.
The inequality x ≤ 2 means that x can take on any value less than or equal to 2.
This includes 2 itself and any number less than 2.
The inequality x < 2 means that x can take on any value less than 2, but it cannot be equal to 2.
This includes any number less than 2, but not 2 itself.
In summary, x ≤ 2 includes 2 as a possible solution, while x < 2 does not include 2 as a possible solution.