According to the given data we have the following inequality:
[tex]x+5>-7[/tex]To find the solution of the inequality above we would make the following:
[tex]\begin{gathered} \mathrm{Subtract\: }5\mathrm{\: from\: both\: sides} \\ x+5-5>-7-5 \end{gathered}[/tex][tex]\begin{gathered} \text{Finally, simplify},\text{ and so:} \\ x>-12 \end{gathered}[/tex]Therefore, the solution to x+5>-7 would be x>-12
