Math Help??

Question

Can someone tell me the answer to this and explain it to me:
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] {1, 2, 3, 4}
[D] {0, 1, 2, 3, 4}

Answer 1

B is the answer. Add three to both sides and you get 2x<8. Then divide by 2 and you get x<4. If it is a positive integer then the answer is B because x is less than 4 not less than and equal to and 0 is neither positive nor negative.