Answer:
To solve the inequality 2x-3>0, we can use algebraic manipulation to isolate x on one side of the inequality.
First, we can add 3 to both sides of the inequality:
2x - 3 + 3 > 0 + 3
Simplifying the left side and the right side, we get:
2x > 3
Next, we can divide both sides of the inequality by 2:
2x/2 > 3/2
Simplifying the left side and the right side, we get:
x > 3/2
Therefore, the solution to the inequality 2x-3>0 is x > 3/2.