Answer:
[tex](-\infty,+\infty)[/tex]
Step-by-step explanation:
The given inequality is 3x-2>4 or [tex]5x-3\leq 7[/tex]
We group similar terms to obtain: 3x>4+2 or [tex]5x\le7+3[/tex]
Simplify to get:
3x>6 or [tex]5x\le10[/tex]
x>2 or [tex]x\le 2[/tex]
This implies that the solution set is all real numbers.
The solution in interval notation is [tex](-\infty,+\infty)[/tex]