Answer
No, it is not a solution.
Work Step by Step
To solve for this you input (-1,4) into the equation $y\lt2x+5$, replacing -1 for the $x$ and 4 for the $y$.
$(4)\lt2(-1) + 5$
Then, solve:
$4\lt3$
This now reads 4 is less than three which cannot be true which means that (-1,4) is not a solution of the inequality.