Respuesta :

calculista
Part 1) 
[tex]y \ \textgreater \ 2-x \\ y \ \textgreater \ \frac{2}{3}x-2 [/tex]

using a graph tool
see the attached figure N 1

the solution is the shaded area

Part 2) Chose a point
point (10,10)
x=10
y=10

for the inequality 1
y > 2-x----------> 10 > 2-10----------> 10 > -8------> is ok

for the inequality 2
y > (2/3)x-2------> 10 > (2/3)*10-2----> 10 > 6.67-2----> 10 > 4.67-----> is ok

Part 3) 
[tex]y \leq -2x+3 \\ y \leq x-2[/tex]

using a graph tool
see the attached figure N 2

the solution is the shaded area

Part 4)Chose a point
point (-10,-20)
x=-10
y=-20

for the inequality 1
y <= -2x+3--------> -20 <= -2*(-10)+3----> -20 <= 23-----> is ok

for the inequality 2
y <= x-2------> -20 <=-10-2-----> -20 <= -12------> is ok
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