Answer:
The solution to the inequality is;
[tex]x>-\frac{13}{20}[/tex]Explanation:
Given the inequality;
[tex]x+\frac{2}{5}>-\frac{1}{4}[/tex]Solving for x; subtract 2/5 from both sides
[tex]\begin{gathered} x+\frac{2}{5}-\frac{2}{5}>-\frac{1}{4}-\frac{2}{5} \\ x>-\frac{5}{20}-\frac{8}{20} \\ x>-\frac{13}{20} \end{gathered}[/tex]Therefore, the solution to the inequality is;
[tex]x>-\frac{13}{20}[/tex]