Determine the type of boundary line and shading for the graph of the inequality 3x + y (greater than or equal to) 10.
A) Dashed line with shading on the side that includes the origin.
B) Solid line with shading on the side that does not include the origin.
C) Dashed line with shading on the side that does not include the origin.
D) Solid line with shading on the side that includes the origin.
is it b
5 answers
Oscar, please follow directions and list your school subject in the School Subject box! How do you expect the tutor who knows your subject to see your question?
sorry it was an honest mistake pls help me though
'Sokay! I'm not a math tutor. Someone will log on and help you, I'm sure. :)
ok thx so much
The >= condition indicates you will need a solid line, because
3x+y = 10
is part of the solution. So, B and D are the only possibilities.
Now draw that line. Since you want
3x+y >= 10
you shade the part of the plane above the line, as that's where the sum of 3x+y is more than 10.
So, since (0,0) is below the line (0+0 < 10) you want to shade the part away from the origin: (B)
3x+y = 10
is part of the solution. So, B and D are the only possibilities.
Now draw that line. Since you want
3x+y >= 10
you shade the part of the plane above the line, as that's where the sum of 3x+y is more than 10.
So, since (0,0) is below the line (0+0 < 10) you want to shade the part away from the origin: (B)