Question 908883
First find the feasible region.
{{{drawing(300,300,-3,6,-2,6,circle(-2,5,0.3),grid(1),circle(4,5,0.3),circle(-2,2,0.3),circle(1,2,0.3),blue(line(1,2,-2,2)),blue(line(-2,2,-2,5)),blue(line(-2,-1,4,5)),blue(line(-2,5,4,5)),graph(300,300,-3,6,-2,6,x+1))}}}
The solution will occur at one of the vertices.
(-2,2),(-2,5),(1,2),(4,5)
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(-2,2): {{{f=2(-2)-3(2)=-4-6=-10}}}
(-2,5): {{{f=2(-2)-3(5)=-4-15=-19}}} <--- Minimum
(1,2): {{{f=2(1)-3(2)=2-6=-4}}} <--- Maximum
(4,5): {{{f=2(4)-3(5)=8-15=-7}}}