solve it separately
[tex]5x-29 \ \textgreater \ -34
[/tex]
add 29 to both sides then divide by 5
[tex]x\ \textgreater \ -1[/tex]
for the second part
[tex]2x+31\ \textless \ 29[/tex]
subtract 31 from both sides then divide by two
[tex]x\ \textless \ -1[/tex]
which means the final answer is A
[tex]x\ \textless \ -1 \\ or \\ x\ \textgreater \ -1[/tex]