Final answer:
The solution to the inequality 2x-3>2x-52 does not restrict the value of x to a particular set since the x terms cancel each other out, leading to a statement that is always true, which means any real number is a solution.
Step-by-step explanation:
The question asks to find the solution set for the inequality 2x−3>2x−52. To solve this inequality, we can subtract 2x from both sides to isolate the variables and constants:
- 2x − 2x > − 52 + 3
- 0 > − 49
This is always true since 0 is always greater than − 49. However, since the inequality does not actually depend on x (because the x terms cancel each other out), all values of x satisfy this inequality. Therefore, any real number for x is a solution, which means the inequality has infinite solutions and does not restrict the value of x to a particular set. The multiple-choice options provided seem unrelated to the actual inequality presented.