Solve the inequalities for real x : `x/4<((5x-2))/3-((7x-3))/5`

Explanation

To solve the inequality \( \frac{x}{4} < \frac{5x - 2}{3} - \frac{7x - 3}{5} \), we can follow these steps:

### Step 1: Find a common denominator for the right-hand side
The denominators on the right-hand side are 3 and 5. The least common multiple (LCM) of 3 and 5 is 15.

### Step 2: Rewrite the right-hand side with the common denominator
We rewrite each term on the right-hand side:
\[
...