In the set of positive integers, what is the solution set of the inequality 2x-3<5 ？ A. 0,1,2,3 B. 1,2,3 C. 0,1,2,3,4 D. 1,2,3,4 E. 0

To find the solution set of the inequality 2x-3<5, we can solve it step by step.

Step 1: Add 3 to both sides of the inequality: 2x-3+3 < 5+3 2x < 8

Step 2: Divide both sides of the inequality by 2: (2x)/2 < 8/2 x < 4

So, the solution set of the inequality 2x-3<5 in the set of positive integers is the set of numbers less than 4.

Looking at the answer choices, the set that satisfies this condition is option D: 1, 2, 3, 4.