Answer
See the graph

Work Step by Step
We are given:
$3x-2y \lt 8$
$2x+y \gt 0$
The pink region represents $3x-2y \lt 8$. The green region represents $2x+y \gt 0$. The solution of the system is the intersection of the pink and green regions.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.