Question

Determine the type of boundary line and shading for the graph of the inequality y less than or greater to 2x + 4

@Mertsj @radar @hartnn I forgot how to identify these.

Answer 1

It it says greater than or equal to, shade all values above the line

Answer 2

Dashed boundary line with shading on the side that includes the origin.

Solid boundary line with shading on the side that does not include the origin.

Dashed boundary line with shading on the side that does not include the origin.

Solid boundary line with shading on the side that includes the origin.

Those are the choices^

Answer 3

@dpaInc @Luis_Rivera ?

Answer 4

@jim_thompson5910 ?

Answer 5

If there's a line under the inequality sign, the boundary line is a solid line

Answer 6

if there's no line under the inequality sign, the boundary line is a dashed line

Answer 7

Alright. Thanks Jim. :)

Answer 8

To check to see if the origin is in the solution set, you just plug in x = 0 and y = 0

Answer 9

if you get a true inequality, then the origin is in the solution set

Answer 10

Okay so the line will be straight because y is less than or equal to not less that 2x + 4. So pick a point and try it out. I will be pick (0,0)and plug it in. So I will get 0=2(0)+4. Y is less than or equal to 2x+4. You will then shade under the line.


A trick is to see if y is less than or greater than. If it is less than than usually the shading will be under the line and if it is greater than the shading will usually be on top of the line. The only thing is if you have to divide by a negative number than it will usually be the opposite.