
Answer:
solution for the given inequality: [tex](-\infty, -4)[/tex]
Step-by-step explanation:
Given that: [tex]\frac{x+4}{2x-1}<0[/tex]
Multiplying both sides by 2x-1 we get;
[tex]x+4< 0[/tex]
Subtract 4 from both sides we get;'
[tex]x+4-4< 0-4[/tex]
Simplify:
[tex]x< -4[/tex]
Therefore, the solution for the given inequality: [tex](-\infty, -4)[/tex]