Answer:
First graph
Step-by-step explanation:
Given equations : [tex]3y \leq 2x+6\,,\,2x+y > 0[/tex]
We need to find which graph represents the solution set of the given system of inequalities .
Put point (1,0) in inequation [tex]3y \leq 2x+6[/tex] , we get [tex]0\leq 8[/tex] which is true, so solution is region towards the point (1,0) i.e, region below the line 2x+6 = 3y
Put point (1,0) in inequation [tex]2x+y > 0[/tex], we get [tex]2> 0[/tex] which is true, so solution is region towards the point (1,0) i.e, region towards the right of equation .
As we take intersecting part of both the regions , we get the shaded part as shown in the given figure .
So, answer is first graph
