To solve the inequality \( 2x - 3 > 0 \), follow these steps:

1. Add 3 to both sides of the inequality:
   \[
   2x > 3
   \]

2. Divide both sides by 2:
   \[
   x > \frac{3}{2}
   \]

So, the solution is \( x > \frac{3}{2} \).

### Would you like more details, or do you have any questions?

Here are 5 related questions you might find helpful:

1. How do you solve \( 3x + 5 > 2 \)?
2. How do you solve \( 4x - 7 \leq 5 \)?
3. What happens when you divide or multiply inequalities by a negative number?
4. How do you graph the solution of \( x > \frac{3}{2} \) on a number line?
5. How do you solve compound inequalities like \( 2x - 3 > 0 \) and \( x + 4 \leq 7 \) simultaneously?

**Tip:** When solving inequalities, remember to reverse the inequality sign if you multiply or divide by a negative number!

Learn how to solve the linear inequality 2x - 3 > 0 with a clear, step-by-step solution. Understand how to isolate the variable and find the correct solution, including tips on handling inequalities. Suitable for students in Grades 6-8.

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