Solution: This question must discuss the value of X. In order to make the inequality meaningful, the number under the root sign must be greater than or equal to 0, that is, 2X-3≥0, and the solution is X≥ 1.5. If the left side is also non-negative, that is, 3-X≥0, that is, X≤3. If the left side is negative, then the right side is non-negative, and all conditions are met (remember that the precondition is X≥ 1.5), then the answer to this question is 1.5 ≤ x < 6, where x is not equal to 2.