Answer:
positive
Step-by-step explanation:
Find the sign of (2-2x+y) for any point (x,y) in quadrant 2.
In quadrant 2, the x's are negative and the y's are positive.
So choose a negative value for x and a positive value for y and evaluate:
2-2x+y
Let's try (-4,5):
2-2(-4)+5
2+8+5
15 (positive)
Let's try(-1/2 , 10):
2-2(-1/2)+10
2+1+10
3+10
13 (positive)
Let's try in general Let (x,y)=(-a,b) where a and b are positive:
2-2(-a)+b
2+2a+b
Since a and b are positive, then 2+2a+b is positive because you are adding three different positive numbers.
