Answer:
3rd graph
Step-by-step explanation:
Since the inequality has a greater than symbol (>) and not a greater than or equal to symbol ([tex]\geq[/tex]), the graph will have a dotted line, meaning only the third and fourth graphs could be the one.
Since 2x+3y is GREATER THAN 6 and not LESS THAN 6, we know that the shaded part of the graph will be above (or more) than the line. Therefore, the third graph is the graph that represents the inequality.
The attached picture proves it :)
Hope this helps!
