Answer:
The vertices of both where they cross show (-4,1)
Explanation:
3y > 2x + 12
x < 3(y - 4) / 2
y > 2 (x + 6) / 2
2x + y< -5
= x> -5
set = together
x < 3(y - 4) / 2 shows dotted ascending line attached through x=-6
This means x=--6 y = 0
x>-5 shows boundary dotted vertical line through -5
this means x = -5 y = 0
If it had been x ≥ -5 it would have been solid boundary line.
The area within the dotted lines create a right angle triangle where the far left angle shows ascends to (-6, 0) and crosses y at 0,4 however the shaded area will not got hat far and stop at -4,0 and the area below.
As seen attached when both are plotted with dash dotted boundary lines.
The vertices of both show (-5,1)