Given,
The expression is,
[tex]4x+4>-20[/tex]Required
The solution of the inequality.
Taking the given expression as,
[tex]\begin{gathered} 4x+4>-20 \\ 4x+4-4>-20-4 \\ 4x>-24 \\ \frac{4x}{4}>-\frac{24}{4} \\ x>-6 \end{gathered}[/tex]So, the solution of the inequality is x > -6.
Hence, option B is correct.