Answer
$x \gt 4$
Work Step by Step
Let us consider the both inequalities.
$2x+3 \geq 5$
This can also be written as: $2x\geq 5-3$
or, $x \geq 2$
Now, $3x-1 \gt 11$
This can also be written as: $3x\geq 11+1$
or, $x \gt 4$
Therefore, our result is: $x \gt 4$