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System of linear estimates/2 variables/Solution set is triangle/Exercise
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Let
a
1
x
+
b
1
y
≥
c
1
,
{\displaystyle {}a_{1}x+b_{1}y\geq c_{1}\,,}
a
2
x
+
b
2
y
≥
c
2
,
{\displaystyle {}a_{2}x+b_{2}y\geq c_{2}\,,}
a
3
x
+
b
3
y
≥
c
3
,
{\displaystyle {}a_{3}x+b3y\geq c_{3}\,,}
be a system of linear inequalities, whose solution set is a triangle. How does the solution set look like, when we replace one inequality
≥
{\displaystyle {}\geq }
by
≤
{\displaystyle {}\leq }
?
Create a solution